he elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42
2x − y = 14

A.
Multiply the second equation by -3. The solution is x = 12, y = 9.
B.
Multiply the second equation by -2. The solution is x = 12, y = 10.
C.
Multiply the second equation by 2. The solution is x = 15, y = 9.
D.
Multiply the second equation by 3. The solution is x = 12, y = 10.

Answers

Answer 1

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10.

Step-by-step explanation:

First, look at the y variable of the first equation. It is 3y.

To solve by elimination, the variables have to add together to 0.

So, -3y needs to be added to -3y to eliminate the y variable.

The second equation has the y variable of -y, so it has to be multiplied by 3.

So, answer choice D is the correct answer.


Related Questions

Sarah's soccer team won 68% of the games they played. If they won 17 games, how many did they did they play?

Answers

Answer:

25

Step-by-step explanation:

Compare the data and get the answer

Answer:

25

Step-by-step explanation:

Is the result statistically significant? Explain your answer.What does a mean difference of zero between the two groups indicate?

Answers

Answer:

Statistically significant means a result is unlikely due to chance. The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users

Answer:

 The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users

please awnser use images for question

Answers

Answer:

coordinate points

Step-by-step explanation:

variables: a symbol for a value we don't know yet. ex: x or y

numbers: I hope you know what they are cuz i dunno how to describe it ex: 2

coordinate points: a set of numbers that show position on a graph ex: (2,4)

operations: adding, subtracting, multiplying, dividing

x-2y= 1 3x -6y =3 solve this by using the substitution method

Answers

Answer:

im pretty sure its infinite solutions

Step-by-step explanation:

multiply 17.243 * 0.95 ​

Answers

Answer:

16.38085

Step-by-step explanation:

Answer:

the answer is:   16.38085

Step-by-step explanation:

i have a good calculator

Which set of values will make the following inequality TRUE?
2n + 6 < -12

Answers

Answer:

n < -9

Step-by-step explanation:

Answer:

n < -9

Step-by-step explanation:

2n +6 < - 12

2n < -18

n < -9

Find the average price of homes in the county you selected and use that as population mean prices to state a hypothesis about the data. Note that you already have a sample mean of your area, Use this to set up a hypothesis test. Develop a summary of the five-step hypothesis testing model.

Answers

Answer:

hello your question has some missing part attached below is the missing part

Average Price of home in my county= $580,400 Mean=640069.371428571 stand error=   20175.166257334

The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874

Critical t= confidence=95% sign= 5%

2.05183052

Answer :

First step : Confidence interval

Second step : Hypothesis test

Third step : perform a Test statistic

Fourth step : Reject null hypothesis

Fifth step : conclusion

Step-by-step explanation:

First step : Confidence interval

attached below

confidence interval ; ( 599068.13, 681069.87 )

Second step : Hypothesis test

attached below

Critical values of t = ± 2.032 ( from table )

Third step : perform a Test statistic

attached below

hence t = 2.958

Fourth step : Reject null hypothesis

we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )

Fifth step : conclusion

Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .

What is 2 divided by 3/4

Answers

Answer:

1/2

Step-by-step explanation:

2 /  (3/4) = 1/2 * 3/4

             = 3/6

              = 1/2

Answer:2.6 with the 6 repeating

or 2.66666666667

Step-by-step explanation:

i am fast with a calculator.

Determine the x- and y- intercepts for the graph equation y = -8

a. x-intercept is (0, -8) No y-intercept
b. No x-intercept y-intercept is (0, -8)
c. x-intercept is ( x8, 0) NO y-intercept
d. NO x-intercept is ( -8,0)

Please select the best answer from the choices prov​

Answers

Answer:

b. No x-intercept y-intercept is (0, -8)

Answer:b

Step-by-step explanation:

a sum of money put out at compund interest in increased by Rs.180 at the end of first year and by Rs. 188.10 at the end of second year. find out the sum and rate of interest​

Answers

Answer:

This is the answer. All the best

The measure of ZJLM is 140°. The measure of ZJKL is 75°.
What is the measure of ZKJL?
Enter your answer in the box,
mZKJL =

Answers

Answer:

65°

Step-by-step explanation:

m∠KJL = 65°

Sharon and Dani make invitations for a party.Sharon makes 27 invitations. That is 3 times as many as Dani makes.write and solve an equation to find the number of invitations Dani makes

Answers

Answer:

81 Invitations, 27 times 3 = 81

Step-by-step explanation:

5. The cone shown below has a slant height of 15 centimeters and a height of 12
centimeters.
15 cm
12 cm
What is the volume of the cone?
Round your answer to the nearest tenth. Do not include the cm3.
1017.9

Answers

Answer:

the answer is A

Step-by-step explanation:

If the roots of the equation
lx²+nx+n=o is in the ratio p:q
then
√(p/q) + √(q/p)=?​

Answers

Step-by-step explanation:

Let the given ratio be pk : qk .

So , here the quadratic equation is lx² + nx + n = 0. With respect to Standard form ax² + bx + c = 0.

We have ,

a = lb = nc = n

→ Sum of roots = -b/a = -n/l = qk + pk

→ Product of roots = c/a = n/l = k²pq .

[tex]=> \dfrac{n}{l} = \dfrac{k^2}{pq} \\\\=> k^2 =\dfrac{n}{pql} [/tex]

And here pk and qk is a root of the quadratic equation ,

[tex]=> lx^2 + nx + n = 0 \\\\=> l(pk)^2 + n(pk) + n = 0\\\\=> lp^2k^2+npk + n = 0 \\\\=> lp^2\bigg( \dfrac{n}{pql} \bigg) + np\bigg(\sqrt{\dfrac{n}{pql}} \bigg) + n = 0 \\\\ => n\bigg\{\dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1\bigg\} = 0 \\\\=> \dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1 =0\\\\=>\sqrt{\dfrac{p}{q}} \bigg( \dfrac{q}{p}+\sqrt{\dfrac{np}{lq}}+1\bigg) = 0 \\\\=> \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}}+ \sqrt{\dfrac{n}{l}}=0 \\\\\boxed{\red{\bf\longmapsto \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}} = - \sqrt{\dfrac{n}{l}}}} [/tex]

You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes.

Answers

Answer:

250 minutes

Step-by-step explanation:

I'm going to word it in a more complicated way so that you can already have this knowledge for future times...

3t = 150

150 ÷ 3 = 50

t × 5 = 250

Determine if the following conditional statement is true or false,
alf B is between A and C, then AB + BC = AC
b.ITB is between A and C, then AB = BC,

c. If AB = BC, then B is a midpoint,

Answers

Answer:AlF3

Step-by-step explanation:

I GIVEEEEE BRAIMLILSTER

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}[/tex]

Step-by-step explanation:

According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .

[tex]\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours } [/tex]

Hence it will cover 300 miles in 5 hours .

Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases

Evaluate the equation.

196b = 450.8

Answers

Answer:

b = 2.3

Step-by-step explanation:

450.8 / 196 = 2.3

Answer:

B=2.3

Step-by-step explanation:

196b÷196=450.8÷196

3/4(8x^2+1)3x^2+1/4

Answers

Answer:

Please look at the attached image to see the answer.

p=10-2.5c, find p when c = 3.2

Answers

Answer:

P=2

Step-by-step explanation:

10-2.5(3.2)=P

By order of operations you would multiply 2.5 and 3.2 together giving you 8.

You would then subtract 10-8 giving you 2.

Answer: P=2 I think

Explanation

A satellite flies 118404 miles in 15.18 hours. How long would it take to fly 174798 miles?

Answers

Answer:

22.41 hours

Step-by-step explanation:

Set up a proportion where x is the time to fly 174798 miles

[tex]\frac{118404}{15.18}[/tex] = [tex]\frac{174798}{x}[/tex]

Cross multiply and solve for x:

118404x = 2653433.64

x = 22.41

So, it would take 22.41 hours to fly 174798 miles

GCF And LCM of 24, 36, 45

Answers

Answer:

Step-by-step explanation:

First lets prime factorize each number

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

45 = 3 x 3 x 5

GCF = 3    (3 is the only common prime number factor in the 3 numbers)

LCM = 2 x 2 x 2 x 3 x 3 x 5

        = 24 x 3 x 5

        = 72 x 5

        = 360

Happy to help :)

I need help ASAP plz help

Answers

Answer:

8:4

7:3

Step-by-step explanation:


Joe takes 6 hours to water the plants in his garden. When Joe works with his brother Jack, they take 4 hours
to water the plants in the garden. How long (in hour) would it take jack alone to water the plants in the
garden? ​

Answers

Answer:

2hours

Step-by-step explanation:

help y'all i need it badly

Answers

Answer:

In other words, the slope of the line tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on.

Step-by-step explanation:

Hope this helps

in 1990 the estimated population of pittsburgh, pennsylvania, was 369,879. in 2000 the estimated population was 334,563. find the percent of decrease from the nearest whole percent from 1990 to 2000.

Answers

Answer:

9.55%

Step-by-step explanation:

1990 = 3,69,879   2000 = 3,34,563

%Decrease = Old Value - New Value/Old Value ×100%

%Decrease = 3,69,879 - 3,34,563/369879 ×100%

%decrease = 35316/369879 × 100%

%Decrease = 9.548%

%Decrease = 9.55%(Answer)

Need help ASAP 25 points

Answers

Answer:

B and F

Step-by-step explanation:

(6-11)^2 =

6/11 x 6/11

6^2/11^2

36/121

The answers are B, E and F

5-x=3
Work out the value of 3x^2

Answers

Answer:

12

Step-by-step explanation:

[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]

48 is 32% of what number?

Answers

Answer:

150

Step-by-step explanation:

Because I looked it up

Ratio of dolls to teddy bears is 6:5. If the has 240 dolls how many teddy bears are there?

Answers

Answer:
There will be 200 teddy bears.

Explanation:
Please check the picture attached!

I hope this helps!
Answer:
200 Teddy Bears

Explanation:
6 x 40 = 240
5 x 40 = 200
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