Question

How do you solve the system `x-2y=8` and `-x+5y=-5`?

Answer 1

The solution for the system of equations is:
`color(red)( x = 10 , y=1`

Explanation:

`color(red)(x)-2y=8`.....equation `(1)`
`color(red)(-x)+5y=-5` .....equation `(2)`

Adding equations `1` and `2` to eliminate `color(red)(x`
`cancelcolor(red)(x)-2y=8`
`cancelcolor(red)(-x)+5y=-5`

`3y = 3`
`color(red)(y=1`

Substituting `y` in equation `1` to find `x`

`x = 8+2y`
`x = 8+2xx1`
`color(red)( x = 10`