Question

If UV = 13, VW = 3x − 5, and UW = 5x − 18, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer.

I got stuck here. If you could (or not) type step by step.

Answer 1

Since UV and VW make up UW, we can set add together UV and VW and set them equal to UW.

5x - 18 = 13 + 3x - 5

Let's combine like terms on the right side.

5x - 18 = 3x + 8

Subtract 3x from both sides and add 18 to both sides.

2x = 26

Divide both sides by 2

x = 13

We know that UW = 5x - 18. Let's plug 13 in for x.

UW = 5(13) - 18 = 65 - 18 = 47.