Is (1, 3) a solution to the system of equations listed below? (1 point) y= 6x -3 y = x - 2

Answers

Answer 1

Answer:

The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

Step-by-step explanation:

we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.

The system of equation given is:

[tex]y=6x-3\\y=x-2[/tex]

Solving:

Let:

[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]

Put value of y from equation 2 into equation 1

[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]

Now, put value of x in equation 2 to find value of y

[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]

So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.


Related Questions

I WILL GIVE BRAINLIEST!!!!!!!! ASAP

Answers

JUST GIVE ME ONE AND THEN RE POST IT BECAUSE IK U LUV ME

Answer:

no se ve bien no puedes subirla en foto?

Step-by-step explanation:

I,l give thanks and brainliest to whoever answers correctly ^_^

Answers

Answer:

[tex]\frac{20}{63}[/tex]

Step-by-step explanation:

The lengh times width results in 63, 20 of the 63 squares are shaded.

Carlos bought the items shown in the
table. What was the total cost, not including tax?

Answers

the fact that there is no chart makes it hard

Step-by-step explanation:

Joe buy pens and pencils.pens cost $1.50 and pencils cost $0.75.Write an equation that represents the combinations of how many each of each he can buy for $12​

Answers

1.50x + 0.75= $12

Orrrrr

1.50x + 0.75y = $12

I could be wrong but the x represents how many pens he buys and y represents how many pencils he buys. Or you could use x for both. But are there any answer options?

Use the diagram to find the value of a. The parallel lines
are marked.
62
45
73
106

Answers

Answer:

62

Step-by-step explanation:

Notice that angles <a and that labeled 62 degrees are corresponding angles between parallel lines, and therefore, must be congruent.

Therefore:

<a = 62 degrees.

An experiment was conducted to see if there is any difference in the amount of weight gained by two groups of pigs fed + Feed # Pigs Mean Weight Gain Standard Deviation Diet A 36 55 3 Diet B 49 53 5.6 1. Construct a 95% confidence interval for the difference of means weight gain using 76 as the degree of freedom. 2. Assume that the variance of the 2 populations are equal, test the hypothesis that pigs fed with Diet A gain more weight than with Diet B at the 0.05 level. 2.

Answers

Answer:

Answer:

1. The confidence interval for the difference of means weight gain using 76 as the degree of freedom  is -1.664, 5.664

2.The calculated value of t does not lie in the critical region for both d.f 76 and 83 . Therefore we accept our null hypothesis that pigs fed with Diet A gain more weight than with diet B at the 0.05 level

Step-by-step explanation:

         # Pigs              Mean Weight Gain           Standard Deviation

Diet A     36                       55                                   3

Diet B     49                        53                                5.6

(x`1- x` The 2) ± t∝/2 (v) . Sp √1/n1 + 1/n2

where v= d.f= 76

Here the difference between the sample means is x`1- x`2=  55-53= 2

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

=  1/36 +49-2 [ 55²+53²]

Sp = √3025 +2809/83 = 8.38

t (0.025) (76) = 1.992

(x`1- x`2)± t∝/2 (v) . Sp √1/n1 + 1/n2

(2 )± 1.992 (8.38) √ 1/36 + 1/49

(2 )± 3.664

-1.664, 5.664

Par t 2:

The null and alternate hypotheses are

H0 : u1 >  u2          against   Ha: u1 ≤ u 2

Significance level alpha = 0.05

The critical region t ≥ t (0.05, 76) = 1.665

D.f = n1+n2- 2= 83

The critical region t ≥ t (0.05, 83) = 1.663

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= 2/ 8.38 √1/36+ 1/49

t= 2/1.839

t= 1.087

The calculated value of t does not lie in the critical region for both d.f 76 and 83 . Therefore we accept our null hypothesis that pigs fed with Diet A gain more weight than with diet B at the 0.05 level

WILL GIVE BRAINLIEST LOOK AT PHOTOS FOR QUESTION

Answers

Answer:

7.60

0.76

0.2

0.2

hjlai

Which statement does not describe the cosine function?
A. The cycle repeats every 21 radians.
B. Its range includes all real numbers.
C. The cycle starts at y = 1, decreases to y = -1, and then increases
to y = 1.
D. Its reciprocal function is secant.
SUBMIT

Answers

The statement (B) " Its range includes all real numbers." is correct because it does not describe the cosine function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The domain of a cos function is al real numbers and the range of the cos function is [-1, 1]

The cos function is the reciprocal of the secant.

The cycle repeats every 21 radians.

Thus, the statement (B) " Its range includes all real numbers." is correct because it does not describe the cosine function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Find the measures of center for following. Data Frequency 30 - 34 1 35 - 39 0 40 - 44 3 45 - 49 7 50 - 54 5 55 - 59 10 60 - 64 10 65 - 69 21 70 - 74 12 mode

Answers

Answer: the mode is 67.2

Step-by-step explanation:

Given that;

Data               Frequency

30 - 34                 1

35 - 39                0

40 - 44                3

45 - 49                7

50 - 54                5

55 - 59               10

60 - 64               10

65 - 69              21

70 - 74               12

Mode = ?

we know that mode is the number that has the highest number of appearance of frequency, so in this case, the data group that has the highest frequency (21) is 65 - 69  

Lower class boundary of the modal group; L = 65

Frequency of the group before the modal group; Fm-1 = 10

Frequency of the modal group; Fm = 21

Frequency of the group after the modal group; Fm+1 = 12

Group width; G = 4

Now using the formula

Mode = L + [ (Fm - Fm-1) / ( (Fm - Fm-1) + (Fm - Fm+1) ) ] × W

so we substitute

Mode = 65 + [ (21 - 10) / ( (21 - 10) + (21 - 12) ) ] × 4

= 65 + [ 11 / 20] × 4

= 65 + 2.2

= 67.2    

Therefore the mode is 67.2

2h - (6h - 5 ) = -1​

Answers

Answer:

1.5

Step-by-step explanation:

2h-(6h-5)=-1

2h-6h+5=-1

-4h+5=-1

-4h=-1-5

-4h=-6

h=-6/-4

h=6/4

h=3/2 or 1.5

Answer:

exact form: 3/2

decimal form: h= 1.5

mixed number form: h= 1  1/2

the question is
in 2001 how many applications were received and what percentage of grants were funded?

Answers

Answer:

The number of applications received is approximately 30,000 and the success rate is approximately 32%.

Step-by-step explanation:

The application curve is red in colour, on 2001 trace it the right hand side, the number of applications received is approximately 30,000.

The percentage of grants funded is equal to the success rate which is the curve green in colour. On 2001 trace the curve to the left hand side, the success rate is approximately 32%.

а
ا ن و و
An account paying 4.6% interest compounded quarterly has a balance of $506,732.32. Determine the amount that
can be withdrawn quarterly from the account for 20 years, assuming ordinary annuity.
$9,722.36
b $6,334.15
$23,965.92
d. $7,366.99

Answers

B 6,334.15 because
An account paying
4.6% intrest
And

Answer:

answer Option A $9,722.36

I am 100% sure

Helpppppp!!!!!!!!!!!!

Answers

Answer:

b or B is correct answer out of all

Answer:

I'll try my best to answer this but it could be A. and B.

Step-by-step explanation:

The reasoning for this is because both A and B show correct number lines and the question is asking to select TWO that applyFor A., -2 is the opposite of 2

»(-2 is on the left side of the number line, the left side of number lines show negative numbers)

This same rule applys to B. -4 is the opposite of 4.

The reason why C. wouldn't be right is because -3 is on the same side where positive numbers would go, on the right side of 0. Meaning C. isn't a correct number line so it can't be the right answer..

I hope this helped!!

Which is the graph of y-3=-2/3(x+6)

Answers

Did you post the graphs or is that just the question of so I will solve in the comments

Please help me I need help

Answers

Answer:non

Step-by-step explanation:

Answer:

It's nonproportional

A ray is a part of a line.

Answers

Answer:

A ray is a part of a line.

Step-by-step explanation:

yes

A ray is a part of a line - True

What is [(5387x29) + (3255x73)]

Answers

The answer is 393838

lost is to woods as what is to sea

Answers

Lost is to Missing as Beach is to Sea

Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?

Answers

Answer:

$3700

Step-by-step explanation:

Given that:

Initial amount = $1400

Amount deposited per week = 50

Amount after 47 weeks =?

Using the Arithmetic Progression relation :

Tn = A + (n - 1)d

Weekly deposit = d = 50

A = initial / first deposit = 1400

n = number of deposits

T47 = 1400 + (47 - 1)50

T47 = 1400 + (46)*50

T47 = 1400 + 2300

T47 = 3700

Answer:

$3750

Step-by-step explanation:

T47 = 3750

What is √192 expressed in simplest radical form?

Answers

Answer:

a

Step-by-step explanation:

the answer is a

√192=13.85.....

8√3= 13.85

answer is a

Emoya bought a dress for $180 and she recieves a discount of 10%. the amount of discount she recieves is ?

Answers

Answer:

18 Dollars

Step-by-step explanation:

180 X .10 = 18 dollars of discount

180-18= 162 is the total of what she paid for the dress

I hope this helped you

The HCF of 104 and X is 52. The HCF of X and 234 is 78. Given that X is a
number between 104 and 234, find X.​

Answers

Answer:

X = 156

Step-by-step explanation:

52 is a factor of 52, 104, 156, and 208

78 is a factor of 78, 156, and 234.

The commonality here is 156.

Highest common factor (HCF) is the highest factor of two number among all the common factors of the these number.

When finding the factors of two number, some number among these factors are common. The value of the number [tex]x[/tex] is 156.

What is the highest common factor (HCF)?

When finding the factors of two number, some number among these factors are common.

Highest common factor (HCF) is the highest factor of two number among all the common factors of the these number.

Given information-

The HCF of 104 and [tex]x[/tex] is 52.

The HCF of [tex]x[/tex] and 234 is 78.

The number [tex]x[/tex] is between 104 and 234.

The factors of 52 (multiples of 52) less than or equal to the number 234 are,

[tex]52,104,156,208[/tex]

The factors of 78 (multiples of 78) less than or equal to the number 234 are,

[tex]78,156,234[/tex]

The common number from both sets is 156.

The number 156 is the value of [tex]x[/tex] which is between the number 104 and 234.

Hence the value of the number [tex]x[/tex] is 156.

Learn more about the highest common factor here;

https://brainly.com/question/219464

Picture Shown!! Please help!!

Answers

Answer:

64x^6

Step-by-step explanation:

if a = 3, solve the expression 3a + 6 +5a.​

Answers

Answer:

3a+6+5a

3×3+6+5×3

9+6+15

15+15

30

Hey there!

3a + 6 + 5a

= 3(3) + 6 + 5(3)

= 9 + 6 + 15

= 15 + 15

= 30

Therefore, your answer is: 30

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3x+2/2=13 please help me find the anwser

Answers

Answer:

x=4

Step-by-step explanation:

your answer is 4

simplify 2/2
subtract 1 from both sides
divide by 3
=4

A side of the triangle below has been extended to form an exterior angle of 127°. Find
the value of x.
17°

127°

Answers

Answer:

x = 53°

Step-by-step explanation:

x + 127° = 180° (sum of angles on a straight line/supplementary angles)

Subtract 127 on both sides

x + 127 - 127 = 180 - 127 (subtraction property of equality)

x = 53°

what's the 9th term of the fibonacci sequence

Answers

Answer:

21

Step-by-step explanation:

i hope this helps :)

Answer:

.where is the explanation?

25(x+5\4)^2-16(x7\4)^2 factorize the expression​

Answers

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).

− (12x + 25/4) (2x + −25/4)

(6^4) (6^-2)
I still can't find the answer.​

Answers

Answer:

It would be A )6 powed by 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the problem can be rewritten to look like

6^4 / 6^2  does that help?

or just put the exponents together like  6^(4-2)

[tex]6^{4-2}[/tex]

you've probably figured it out by now.. but. just in case

it's [tex]6^{2}[/tex]

Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment


Help plz

Answers

Answer:

Approximately 14-15

Step-by-step explanation:

This is because 60 percent are not playing games, meaning they haven’t completed their assignment. You then just find 60 percent of 24(the total). That is 14.4 so you round it because you can’t have half of a person, it needs to be a whole number.

The answer simplified is 10 but the actual answer is 9.6 so I really do not know but there
Other Questions
A $10 shirt is on sale for 25% of the price. What is the sale price of the shirt How is "eat in the kitchen / When company comes" an allusion? Neutral pH is ______.Choose one answer. a. 7 b. 5 c. 0 Samer's salary each month is $3,650. He spends $1,160 on rent. He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part? Help me pls, I tried to do it and got the incorrect Anwser Sabas que hay un arrecife de coral en el ro Amazonas? Este arrecife de coral mide mil kilmetros y est en el noreste de Brasil. Es fcil el peligro de extincin del arrecife del Amazonas cuando hace ms calor en las aguas del ro. El ro Amazonas comienza en los Andes, Per, luego pasa por Venezuela y Brasil y sale al ocano Atlntico. El ro Amazonas es el hbitat de muchos animales, como peces pequeos que comen carne o los delfines rosados que estn en peligro de extincin.After reading the passage, what is true about this natural resource? It is the home for large ocean mammals. It shelters non-endangered species. Its reef could be threatened by higher temperatures. Its salty waters are being polluted by illegal fishing practices. How many solutions are there to 17-1/9x=10 19) Albert says that the two systems of equations shown have the same solutions.FIRST SYSTEM6x + y= 2-x-y=-3SECOND SYSTEMS2x-3y = -10-X-y= -3A) Agree, because the solutions are the sameB) Agree, because both systems include -x-y= -3C) Disagree, because the solutions are differentD) Cannot be determined Which is the correct electron configuration for the element nitrogen On a field trip ,there are 3 adults for every 45 students .which graph models a relationship with the same unit rate Which of the following alkyl halides will react fastest with CH3OH in an SN1 mechanism?A) I B) II C) III D) IV Cochineal is a red dye obtained from the dried bodies of cochineal insects. The Spanish used it to dye their fine cloth.true or false? Which reproductive structure is correctly paired with its functions does this violate the first amendments freedom of religion? your private school requires you to say a certain prayer each morning even though you have a different faith Which of the following was one of the major outcomes of the Lewis and and Clark expedition A The explores discovered a water route across the continent B The journey paved the way for settlers from Eastern United States C the expedition caused the native Americans to rise up in rebellionD The explores found no unique animals or plants aramtres de confidentialit pour vous donner plus de contrle. L'ad-EXTRAIT 6 : RIEN DE TROP, Jean de La Fontaine, FabUn art d'crire :1- De quoi est-il question dans la fable ?De quoi est il question dans la fable Rien de Trop de jean de la Fontaine Correct the sentences.8 Kelly asked you were a vegetarian, but I said 'no'.____________________________________________________________________9 She's the practically most intelligent person I've ever met.____________________________________________________________________10 I was born in Singapore, like was Mei Lee. In fact, we grew up in the same neighbourhood.____________________________________________________________________11 The more harder we tried to get out of the mud, the more our car became stuck.____________________________________________________________________12 Can you remind me phone Jessica and invite her to the party?____________________________________________________________________13 Sally admitted to have left my laptop on the train.____________________________________________________________________ Fred jumped into a lake from a rock 7 feet above the surface of the water. He sank five feet into the water and continued to swim down two additional feet.Sophie stated that the total distance would be 0 because the heights were additive inverses of each other.Jake disagrees and thinks that Fred covered 14 feet. He found his answer using a number line.Do you agree with Sophie or Jake? The height of the wave is the MOST affected by theA) speed of windB) speed of the oceanC) salinity of the oceanD) amount of solar energy Need help immediately!!!!!!! Steam Workshop Downloader