Solve for the variable if XY+YZ=XZXY = 3k-2, YZ = 7k+ 4, XZ = 4k + 38

Treehouse asked Jun 1, 2023

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Treehouse asked Jun 1, 2023

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16 votes

Given:

XY = 3k-2, YZ = 7k+ 4, XZ = 4k + 38

Required:

Solve for the variable if XY+YZ=XZ

Step-by-step explanation:

$\begin{gathered} XY+YZ=XZ \\ 3k-2+7k+4=4k+38 \\ 10k-4k=38-2 \\ 6k=36 \\ k=6 \end{gathered}$

Final answer:

k = 6

JohnP answered Jun 6, 2023

by JohnP

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