Question

Use substitution to solve the system.
2y-6 = x
- 4x +3y = 19

Answer 1

`x = -4, y = 1`

Explanation:

Given

2y - 6 = x [1]

and

-4x + 3y =19 [2]

Substitute for x from equation [1] into equation 2

We have from [1], x = 2y - 6

Substitute the expression for x into -4x + 3y = 19

`== > - 4(2y - 6) + 3y = 19\\`


`== > - 8y + 24 + 3y = 19`

`-8y + 3y +24 = 19\\\\-5y + 24 = 19\\\\-5y = -24 + 19\\\\(-5y)/(-5) = (-5)/(-5)\\\\y = 1`

Substitute for y in equation [1]

`2y - 6 = x\\2(1) - 6 = x\\2 - 6 = x\\-4 = x\\x = -4\\`