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

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Answer 1 · 2016-10-02T23:43:00

Substitute the second equation into the first equation.

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: $x=-1, y=4$

What is xx and yy in this system of equations: 5x+y = -15x+y = -1 and y=6x+10y=6x+10 ?