What does it mean to solve the following system by substitution?
4x + y = 5
2x – 3y = 13
In substitution, we solve one of the two equations for one of the variables (this is easiest when one variable has a coefficient of 1)
4x + y = 5 ? y = 5 – 4x
Now, replace y in the other equation with this expression for y:
2x – 3y = 13
2x – 3(5 – 4x) = 13
Now, we can solve for x. Once we have x, we can plug into either equation to find y.
x = 2, y = –3