Question

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

Answer 1

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