Question

What is `x` and `y` in this system of equations: `5x+y = -1` and `y=6x+10` ?

Answer 1

Substitute the second equation into the first equation.

Explanation:

The first equation now looks like this:

`5x+6x+10=-1`

Next, combine like terms (5x and 6x) to get `11x+10=-1`. Subtract 11 from each side to get `11x=-11` and divide each side by 11 to get `x=-1`.

Let's solve for `y` now. We're going to need to plug in our x-value into our second equation:

`y=6(-1)+10`
`y=-6+10`
`y=4`

We now have our two answers: `x=-1, y=4`