L 5.2.3 Quiz: Two-Variable Systems: Substitution
Question 7 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 10x-9
y = x + 18

Answers

Answer 1

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

[tex]y = 10x-9\\y = x + 18[/tex]

For substitution method we substitute the value of x or y from one equation to other.

Let:

[tex]y = 10x-9--eq(1)\\y = x + 18--eq(2)[/tex]

Putting value of y from equation 2 into equation 1

[tex]y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3[/tex]

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

[tex]y=x+18\\x=y-18[/tex]

Now, putting value of x in equation 1

[tex]y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21[/tex]

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)


Related Questions

Bryanna performed an experiment in which she flipped a coin and recorded the results. She got heads up 23 times and tails up 27 times.

Answers

Answer:

if you are asking the probability of heads vs tails, then its a 50/50 most of the time, just in this situation, there was 1% more chance to get tails.

Step-by-step explanation:

still 50/50, because .01 is a very small number.

Does anyone know how to do equations in 6th-grade math? i will be rewarding 15 points to whoever helps me

Answers

Answer:

yeah sure

Step-by-step explanation:

the answer is there already right

Yea I can help you with these problems I’ve done this a long time ago and so far I remembered how to do this. So for number 1. X=4 in this problem so we need to substitute x into 4 and recreate this expression: 4+1=5, and yes it is a solution. As for number 2, w would equal to 2 so 13-2=10 isn’t a solution because 13-12 is actually 11, so this is a false. Now number 3, v would equal to 10 so you’d have to replace 10 into this expression; so it’s going to be 2(10)=12 which isn’t a solution because 2 times 10 equals to 20. Now for number 4, p would have to equal to 7, here is the expression; 14/7=2, is a solution because if you’re going to check it do 7(2) and it would actually equal to 14 so yes it is a solution. Now for number 5 you would have to equal w to 3 so do this in an expression; 8+3=11, and yes that is a solution because you can check it as 11-3 which would equal to 8. Now for number 6 t would have to equal to 5 so replace t into 5 which the expression is going to be; 4(5)=20 so yes it is a solution because you can check it by doing 20/5=4. Now for number 7 s would have to equal to 3 so in this expression would have to be; 12/3=4 and yes that is a solution because you can check it by doing 3 times 4 which would equal to 12. Now for the last problem 8, d would have to equal to 8 so you replace d into 8 which the expression is going to be; 6+8=14, it’s not going to be 6+8=15 because it doesn’t equal to that since if you want to check the right answer just subtract 14 by 8 and you would get 6. So the last problem isn’t going to be a solution.

Determine whether the inverse of f(x)=2x2−5
is a function. Then find the inverse.

Answers

Answer:

Not a function. The inverse is

[tex]y = \sqrt{ \frac{x + 5}{2} } [/tex]

and

[tex]y = - \sqrt{ \frac{x + 5}{2} } [/tex]

Step-by-step explanation:

Any even-degree polynomial functions that are inverted will not be a function.

[tex]f(x) = 2 {x}^{2} - 5[/tex]

Let y = f(x)

[tex] y = 2 {x}^{2} - 5[/tex]

To proceed the inverse, swap the x-term and y-term.

[tex]x = 2 {y}^{2} - 5[/tex]

Convert into function form.

[tex]x + 5 = 2 {y}^{2} \\ 2 {y}^{2} = x + 5 \\ {y}^{2} = \frac{x +5 }{2} [/tex]

The reason why inverted even-degree polynomial function cannot be a function because the inverse graph doesn't pass line test.

Thus the answer is

[tex]y = \sqrt{ \frac{x + 5}{2} } \\ y = - \sqrt{ \frac{x + 5}{2} } [/tex]

Mai owes the bank $60. She gets $85 for her birthday and deposits it into her account. How much does she now have in the bank?
a
$25
b
-$25
c
$145
d
-$145

Answers

Mai now has $25 in the bank
The answer is A. Mai has $25 in her bank account.

what is 9x minus 7= 65 what is x

Answers

Answer:

8

Step-by-step explanation:

First, you add the 7 to both sides. Then you divide both sides by 9. This gets you left with x by its self on one side. x = 8

Answer:

x=8

Step-by-step explanation:

x=8 because if you add 65 and 7 you get 72 and when you divide it by 9 you get 8.

expand 3a(2b+c) .............​

Answers

Answer:

We know that the distributive property says this:

a(b+c) = ab + ac

If we apply this to our case, we can put

3a(2b+c) = 3a * 2b + 3a * c

When we multiply numbers and letters, we should multiply both of them:

3a * 2b + 3a * c = 3*2*a*b + 3*a*c = 6ab +3ac

We can use this when we find a number multiplied by a parenthesis..

Answer:

6ab + 3ac

Step-by-step explanation:

3a(2b) + 3a(c)

6ab + 3ac

Kennedy got money for her birthday. She spent half of her money on a blanket, $74 on a jacket, $36 for a pair of shoes, and had $47 left after shopping. How much money did Kennedy get for her birthday?

A. $157
B. $214
C. $304
D. $314

Answers

The correct answer would be C :)
she received $157 , the answer is a

Simplify the expression: 4(5x - 3)
20x - 12
8x
17x
8​

Answers

4(5x−3)

=(4)(5x+−3)

=(4)(5x)+(4)(−3)

= 20x − 12

Cindy works in a cake shop and earns $42 per day. She earns an extra $4 for each cake she sells. If Cindy wants to earn at least $50 per day, which inequality shows the minimum number of cakes, n, that she should sell?

42 + 4n ≤ 50, so n ≤ 2
42 + 4n ≥ 50, so n ≥ 4
42 + 4n ≥ 50, so n ≥ 2
42 + 4n ≤ 50, so n ≤ 4

Answers

Answer:

Step-by-step explanation:

42+4n<50, so n<4

Answer:

42+4n ≥ 50, so n ≥ 2

Please help ASAP I hate maths and am so confused

Answers

Answer:

90 i think im sorry if its wrong

Step-by-step explanation:

What is 1/5 times 24 as a estimate?

Answers

Answer:

1/5 times 24 is 24 1's, so we will divided 24 by 5, but since were estimating it will be 25/5 and we will get 5. That means 1/5 times 24 as an estimate will be 5. Hoped I helped!

Step-by-step explanation:

If it’s not correct sorry

Un camion lleva 200 cajas. Cada caja contiene 20 paquetes de cafe de un cuarto de kilo. ?Cuantos kilos de cafe lleva el camion?

Answers

Answer:

1000 cajas

Step-by-step explanation:

De la pregunta anterior, sabemos que:

Un camión lleva 200 cajas.

Cada caja contiene 20 paquetes de café de un cuarto de kilo.

Esto significa

1 caja = 20 paquetes (1/4 kilo) de café

1 caja = paquetes de 5 kilos de café

Ya que tenemos 200 cajas en el camión

1 caja = 5 kilo

200 cajas = x

Cruz multiplicar

x = 200 × 5 kilo

x = 1000 kilos

Por tanto, los kilos de café que puede transportar el camión son 1000 kilos.

Ms. Sanger blended 8 ¾ gallons of iced tea with some lemonade for a picnic. If there were 13 ⅖ gallons of the beverage, how many gallons of lemonade did she use?

Answers

13 2/5- 8 3/4= 4.65 or 4 13/20

Hope this helps you!

You are creating a logo for a local company in the shape of an isosceles triangle. The legs measure 5 inches each. What is the greatest number of whole inches the base can measure?

Answers

Answer:

9 inches

Step-by-step explanation:

Here, we want to know the greatest length of the third side

We apply the triangle inequality theorem here

To get the third side, then the sum of the lengths of the two must be greater than the measure of the third side

let us call the third side x

Then;

5 + 5 > x

10 > x

The highest whole number before 10 is 9: so it is the greatest possible whole number the base of the isosceles triangle can have

I WILL MARK BRAINEST!!! Someone please help me please!!! I rly need help with question 4, my friend and I both don’t understand it and is it okay if you could explain? Thanks!

Answers

Answer:

The original number is (i)

The whole amount is (ii)

Step-by-step explanation:

So when finding a number in a percent you wanna see how much that percent will go into that number. So like if I said how many times does 60% go into 200 you would have to see how many times the number 200 would go into 60%. does this make sense? If so this is how you can find your answer.

Sorry if I'm wrong I hope you get this right!! Stay beautiful ❤️


The value of
+40.01 is much less than 1.
Select one:
04
40
4000
Submit Answer

Answers

Answer:

1. The value 40÷40.01 is close to 1.

2. The value 4÷40.01 is much less than 1.

3. The value 4000÷40.01 is greater than 1.

Step by step explanation:

The given numbers are 4, 40 and 4000.

Divide each number 4, 40 and 4000 by 40.01

 The value __40___÷40.01 is close to 1.

The value __4___÷40.01 is much less than 1

The value __4000___÷40.01 is greater than 1.

 

Pleasr help answer this question

Answers

Answer:

B- Negative

Step-by-step explanation:

Since both numbers are on the left side of zero, they are both negative, and in your situation, A= -4.5 and B= -9. By trying to do -4.5+(-9), it will become -4.5-9, thus being negative

If the two factors (below, not the picture tho) 6 and 10,000,000 make 60,000,000 what is the second factor is the equation?

Answers

Answer:

It's 6 to the power of 7

Step-by-step explanation:

60,000,000

There are 7 zeros

Skyler has 350 seashells. He has 60 seashells more than Isabella. How many seashells dose Isabella have?​

Answers

Answer:

290 is the answer

Step-by-step explanation:

350-60=290

290 because 350-60=290 and he has 60 more than her so if you add 290 and 60 you get his sea shells :)

which is greater -12/6 or -9/3​

Answers

Answer:  -9/3

Step-by-step expla

-9/3 is the correct answer

Roman created the following table to represent the balance of his loan, y, over a period of months, x. The equation for the line of best fit of Roman's table of dadt is y= -200.22x + 5,014.20.​

Answers

Answer: extrapolation, and 25 months

Step-by-step explanation:

I took the Plato test and got it right, but if you want to know. Interpolation means based on the numbers given you could see the answer, extrapolation means you have to go farther than the last plot point given to get your answer. Which you do since it does not go past 12 months.

The second answer you can roughly get by pluging in each of the choices in the equation for x

For example: y=-200.22(25)+5015.20

That should give you an answer pretty close to zero so there is your answer

Answer:

extrapolation, and 25 months

Step-by-step explanation:

List two numbers that are between the two given numbers:
2 3/5 and 2 7/10

Answers

Answer:

There are many choices, but one answer is 2 3.1/5 and 2 3.2/5.

Step-by-step explanation:

These are equivalent to 2 6.2/10 and 2 6.4/10 which is between both.

(pls mark as brainliest!)

A car travels about 25 miles on 1 gallon of gas. About how far can the car travel on 8 gallons of gas?

Answers

The answer is
8x25 = 200 miles

3(x+5/3) ...........................

Answers

Answer: if your asking to simplify then the answer is

3x+5

Step-by-step explanation:

20 points for simple math

Answers

Answer:

128

Step-by-step explanation:

Answer:

Verticle     x=128°

Step-by-step explanation:

A vertical angle is each of the pairs of opposite angles made by two intersecting lines.

And vertical angles are congruent so x = 128° as well!

Hope this helps!

Write the following algebraically, using x as your
Own.
"I think of a number, take away 1 and multiply the result by 3.".

Answers

Answer:

(X - 1)3

Step-by-step explanation:

I’m not so sure but this is the best I can do. If this helps, pls give brainliest.

Please help me I’m so confused

Answers

Answer:

60

Step-by-step explanation

Okay, uh... this is gonna be confusing to explain.

So a hexagon's angles add up to 720. This means, we can find each angle's supplementary angle by subtracting each value we know away from the total.

So, we know the inside angle of angle 6 is 90.

So: 720-90=630

Now, typically, you would divide by the remaining angles, but we have basically 2 angles of different values since 1, 2, and 3 are equal, and 4 and 5 are equal.

However, we know that 1, 2, and 3 are 10 degrees less than 4 and 5. So if we "add" 10 degrees to each of those angles we get:

10*3=30

630-30=600

Now we made it as though each angle (1-5) is equal. So now we divide by 5.

600/5=120

This means the supplementary of angles 4 and 5 is 120, so we subtract that value from 180 since a straight angle is 180.

180-120=60

Now, to check this we reverse it.

(120*2)+(120*3)+(10*3)+(90)=

240+360+30+90=

600+30+90=

600+120=

720.

Um... I think this is it?? Your school is scary :o

Find the 13Th term of geometric sequence 1,2,4,

Answers

Answer:

a₁₃ = 4096

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then

a₁₃ = 1 × [tex]2^{12}[/tex] = 4096

The New England Revolutions are having a charity soccer event for which tickets cost $18 per person. However, the ticket agency adds a fixed fee to every order so a person who orders 5 tickets pays $93.

Answers

Let as consider, we need to find the fixed fee.

Given:

Cost of each ticket = $18

Number of tickets = 5

Total cost = $93

To find:

The fixed fee.

Solution:

Let x be the fixed fee..

Cost of 1 ticket = $18

Cost of 5 ticket = $(5 × 18)

                         = $90

Total cost 5 tickets = Fixed fee + Cost of 5 tickets

[tex]93=x+90[/tex]

[tex]93-90=x[/tex]

[tex]3=x[/tex]

Therefore, the fixed fee is $3.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=−16x^{2} + 157x+104

Answers

Can you send a picture of it? Then maybe I can help you answer it.
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