How do you solve the system #2x-3y=12 and x=4y+1#?
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
Plug the value of
To truly prove that