Question

Solve the system by substitution. 5x - y = 21 x = 2y - 3

Answer 1

I think you are talking about the empirical method if so the answer is

5x - y= 1x= y-3

Answer 2

This can be solved through a series of processes!

Distribution

5(2y - 3) - y = 21

10y - 15 - y = 21

9y - 15 = 21

Add 15 to both sides & simplify

9y = 36

Divide by the coefficient

y = 4

Now, let's plug our answer in.

x = 2(4) - 3

x = 8 - 3

= 5

Answer Recap: x = 5, y = 4 OR (5,4)