Question

Solve the system of equations by the substitution method.

x+8y=20
4x+6y=2

Answer 1

`y=3`

`x=-4`

Explanation:

Given:

Equation 1. x+8y=20

Equation 2. 4x+6y=2

1. Find equation x using equation 2.

4x = 2-6y

2. Divide both sides by 4 to isolate x

x =
`(1)/(2)-1(1)/(2) y`

3. Using x, we can substitute equation 1.

`(1)/(2)-1(1)/(2)y+8y=20`

4. Combine like terms

`(1)/(2)+6(1)/(2) y=20`

5. Minus 1/2 from both sides

`6(1)/(2)y=19(1)/(2)`

6. Divide both sides by
`6(1)/(2)` to isolate y

Answer is y = 3

7. Plug y in for equation 2

4x + 18 = 2

4x = -16

x = -4

Answer is x = -4

Hope this helps :)

Have a nice day!