Question

-7x + 6y = -8
6x + 12y = 24
Use the substiution method

Answer 1

(1,2)

Explanation:

Solve the system of linear equations via substitution:

`-7x+6y=-8`

`6x+12y=24`

`6x+12y=24`

Subtract 12y on both sides

`6x=24-12y`

Divide EVERYTHING by 6

`x=4-2y`

DO NOT forget this equation. We will use this at the end!

Now we need to plug in our x equation into one of the two equations. Lets do the 1st one and solve for y.

`-7(4-2y)+6y=-8`

Distribute -7

`-28+14y+6y=-8`

Combine like terms

`-28+20y=-8`

Subtract -28 on both sides

`20y=20`

Divide by 20

`y=1`

We have our y value, so remember the equation we just plugged in? Plug this value into that equation.

`x=4-2(1)`

Multiply

`x=4-2`

Subtract

`x=2`

The solution to the system of linear equations is (1,2)