Solve the system using substitution. y = 4x – 8 y = 2x + 10

Mathematics

2 answers:

Mars2501 [29]3 years ago

3 0

Answer:

9,28

Step-by-step explanation:

see image below:)

Bad White [126]3 years ago

3 0

(y=4x-8)-(y=2x+10)
0=2x-18
By moving x to other side
2x=18
Dividing by 2
X= 9
Putting the value of x in any equation
y=4(9)-8 = 36-8 =28
Y=28

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12w - 27 = - 34+14w Select the equation that has the same solution as the given equation above.

Lisa [10]

Anything with a value of w=3.5 would be equivalent.

To solve this, we cannot have a variable on both sides, so we will subtract 12w from both sides:
12w - 27 - 12w = -34 + 14w - 12w
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Now add 34 to both sides:
-27+34 = -34 + 2w + 34
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Divide both sides by 2:
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8 0

3 years ago

Read 2 more answers

together Preston and Horatio have 49 video game Horatio has 11 more games than Preston how many games does each person have

Bingel [31]

Preston has 19 games and Horatio has 30 games.
You can set this as a system of equations, set Preston as x and Horatio as y.
Both of the amounts add up to 49, so we can get the equation:
x+y=49

Since Horatio has 11 more games, we can get the equation:
y-x=11

If we add the x to the other side, the second equation becomes:
y=x+11

We can plug in the second equation into the first and get the equation:
x+11+x=49

with a little simplification, we get x (Preston) is equal to 19. If we add 11 to it, we get Horatio's amount: 30

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4 years ago

B is the midpoint of AC. What is the length of AB? AB is 9x+7 and BC is -3x+20

ahrayia [7]

<h3>Answer:</h3>

$AB = \frac{67}{4}\\$

<h3>Step-by-step explanation:</h3>

If $B$ is the midpoint of $\overline{AC}$ then $AB$ is just half of $AC$ and also, $BC$ is just half of $AC$ . This means that $AB$ must be equal to $BC$ . Essentially, $9x +7 = -3x +20$ and we can solve for the of $x$ from that equation.