Practice!

Sample Problem

Solve the following linear system

5x + y = 27

y = 3x – 13

x = y =

Solution

In order to solve this, we can plug y into the first equation and solve

5x + (3x – 13) = 27

5x + 3x – 13 = 27

8x = 40

x = 5

Now, we can plug x into either equation and solve for y.

y = 3(5) – 13

y = 15 – 13

y = 2