How do you solve the following system: #2x – 4y = 8, 2x-3y=-13#?
One of the easiest ways to solve this is by realizing that when you subtract the equations, the x's cancel and you can solve for y.
You end up with:
Then just plug it back into one of the equations for y, like this:
Solve for x,
You could also solve by substitution.
Start by solving one of the equations for x or y- let's solve the first one for x:
This is the same as x, right? So we can replace this for x in the second equation:
We've gotten rid of the x's, so we can solve for y:
Now just plug this y value into one of the equations and solve for x: