Question

How do you solve -x+y=5 and x-5y=-9?

Answer 1

The solution for the system of equations is :
`color(blue)(x=-4, y=1`

Explanation:

`color(blue)(-x)+y=5`.......equation `(1)`
`color(blue)(x)-5y=-9`....equation `(2)`

Solving by elimination

Adding the two equations results in elimination of `color(blue)(x`
`cancelcolor(blue)(-x)+y=5`.......equation `(1)`
`cancelcolor(blue)(x)-5y=-9`....equation `(2)`

`-4y = -4`
`color(blue)(y=1`

Finding `x` by substituting `y` in equation `1`

`-x+y=5`
`y- 5=x`
`1- 5=x`
`color(blue)(x=-4`