# How do you solve the system #2x-3y=12 and x=4y+1#?

##### 1 Answer

#### Explanation:

**Solving by Substitution**

First, we're going to use an equation for the value of a variable in order to plug it into the opposite equation of the system. Because

Next, you'll be distributing. What this means is that you'll be multiplying the outside number,

Re-write your equation.

Combine like terms.

This is a two-step equation. To solve it, subtract 2 from both sides to isolate for

Divide by

Plug the value of

To truly prove that