Question

How do you solve 4x + y = -3 and 5x - y= -6?

Answer 1

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

Explanation:

`4x + color(blue)(y) = -3`........equation `1`
`5x - color(blue)(y)= -6`.........equation `2`

Solving by elimination :
Adding equations `1` and `2` eliminates `color(blue)(y`

`4x + color(blue)(y) = -3`
`5x - color(blue)(y)= -6`

`9x=-3-6`

`9x=-9`

`x=-9/9`

`color(blue)(x=-1`

Now, substitute the value of `x` in equation `1` to find `y`

`4x +y = -3`

`4*(-1) +y = -3`

`-4 +y = -3`

`y = -3 +4`

`color(blue)(y=1`