Question

How do you solve the system of equations: 2x + 5y = 2, -3x - y = -3?

Answer 1

The solutions are
`color(blue)(x=1,y=0`

Explanation:

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

`-3x - y = -3`, multiplying this equation by `5`
`-15x -color(blue)(5y) = -15`....equation `2`

Solving by elimination
Adding equations `1` and `2`

`2x +cancelcolor(blue)(5y) = 2`
`-15x -cancelcolor(blue)(5y) = -15`

`-13x=-13`
`color(blue)(x=1`

Finding `y` from equation `2`
`-3x - y = -3`
`-3x +3=y`
`-3+3=y`
`color(blue)(y=0`