Practice!

Sample Problem

Solve the following linear system

2x – 5 = 0.5y

2.5x = y + 4

x = y =

Solution

We can first solve for y in the first equation, then plug it into the second one to solve for x.

2x – 5 = 0.5y

4x – 10 = y

2.5x = (4x – 10) + 4

2.5x = 4x – 10 + 4

-1.5x = -6

x = 4

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

2(4) – 5 = 0.5y

8 – 5 = 0.5y

3 = 0.5y

y = 6