Question

2x + 3y = 6
-4x + 3y = 12

Answer 1

`x = -1, y = (8)/(3)`

Step-by-step explanation:

1. Isolate for x in 2x + 3y = 6:

x =
`(6-3y)/(2)`

2. Plug x into the second equation:

-4(
`(6-3y)/(2)`) + 3y = 12

3. Solve for y:

9y - 12 = 12

9y = 24

y =
`(8)/(3)`

4. Plug y into the first equation:

2x +3(
`(8)/(3)`) = 6

5. Solve for x:

2x + 8 = 6

2x = -2

x = -1