Question

If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?

Answer 1

12

Explanation:

UV + VW = UW

`5+(4x-1)=5x+2`

Remove brackets:

`5+4x-1=5x+2`

Solve
`5-1=4:`

`4x+4=5x+2`

Subtract 4 from both sides:

`4x+4-4=5x+2-4`

`4x=5x-2`

Subtract 5x from both sides:

`4x-5x=5x-2-5x`

`-x=-2`

Divide both sides by -1:

`(-x)/(-1)=(-2)/(-1)`

`x=2`

`UW=5x+2=5(2)+2=10+2=12`