Question

solve using substitution

y=4x-8
y=2x+10

Answer 1

4x-8=2x+10

2x=18
x=...

Answer 2

I got (9,28) is that right.

Answer 3

correct

Answer 4

thanks

Answer 5

[AI-generated answer — Explain Bot]

To solve the system of equations using substitution, we can begin by expressing one equation in terms of one variable and substitute that expression into the other equation. Let's solve the system of equations:

1. Begin with the equations:
y = 4x - 8 ----(Equation 1)
y = 2x + 10 ----(Equation 2)

2. Express Equation 1 in terms of y:
y = 4x - 8

3. Substitute this expression for y into Equation 2:
4x - 8 = 2x + 10

4. Now we can solve for x:
Subtract 2x from both sides:
4x - 2x - 8 = 2x - 2x + 10
2x - 8 = 10

5. Add 8 to both sides:
2x - 8 + 8 = 10 + 8
2x = 18

6. Divide both sides by 2:
(2x) / 2 = 18 / 2
x = 9

7. Now that we have the value of x, substitute it back into either equation to find y. Let's substitute it into Equation 1:
y = 4(9) - 8
y = 36 - 8
y = 28

8. Therefore, the solution to the system of equations is x = 9 and y = 28.