If UW = 9x - 9, what is UW in units?

asked Sep 15, 2023 131k views

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We have the following:

$\begin{gathered} UW=UV+VW \\ \text{where} \\ UW=9x-9 \\ UV=2x-4 \\ VW=4x+10 \end{gathered}$

replacing:

$\begin{gathered} 9x-9=2x-4+4x+10 \\ 9x-9=6x+6 \\ 9x-6x=9+6 \\ 3x=15 \\ x=(15)/(3)=5 \end{gathered}$

Therefore:

$UW=9\cdot5-9=45-9=36$

The answer is 36 units

Patschiboy answered Sep 20, 2023

3.8k points

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