# How do you solve #m+2n=1# and #5m+3n= -23#?

##### 1 Answer

May 11, 2018

n = -4, m = 9

#### Explanation:

This is a system of equations, and the best way to solve this one is through substitution. Basically, we're going to isolate for 1 variable and plug it into the second question to get both variables.

Let's find m. Subtract 2n from both sides. You should get:

Now that we know what

Distribute.

Combine like terms.

Subtract 5 from both sides.

Divide by 7 to isolate for n.

Now, plug this back into the first equation:

Multiply.