Question

How do you solve the system `-6x+6y=6` and `-6x+3y=-12`?

Answer 1

The solution for the system of equations is
`color(red)(x = 5 , y=6`

Explanation:

`-color(red)(6x)+6y=6`............equation `(1)`
`-color(red)(6x) +3y = -12`.......equation `(2)`

Subtracting equation `2` from `1` to eliminate `color(red)(6x`

`cancelcolor(red)(-6x)+6y=6`
`cancelcolor(red) (+6x)-3y = +12`

`3y = 18`
`color(red)(y=6`

Substituting `y` in equation `1` to find `x`
`-6x = 6-6y`
`x = (6-6y)/-6`
`x = (6-36)/-6`
`x =-30/-6`
`color(red)(x=5`