# How do you solve –4x + 7y = –10 and x – 5y = 9?

##### 1 Answer

Mar 14, 2018

x=-1, y=-2

#### Explanation:

Solve for x in one equation, and then substitute x for your solution in the second equation to solve for y, then back-solve for x.

We'll start by solving for x in the second equation, since that is easiest:

Now that we know x with respect to y, we can use that in the first equation:

Now we know the value of y for this system of equations. Plugging that back into our relation with x: