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Kieron Hardy · Answer 1 · 2023-08-18T08:35:37+0000

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