Question

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

Answer 1

`k\text{ = 6}`

Step-by-step explanation:

Here, we want to get the value of k

From what we have in the question, we can deduce that:

`XZ\text{ = XY + YZ}`

Substituting the values;

`\begin{gathered} 4k\text{ + 38 = 3k-2 + 7k+4} \\ 4k\text{ + 38 = 10k+2} \\ 10k-4k\text{ = 38-2} \\ 6k\text{ = 36} \\ k\text{ = }(36)/(6) \\ k\text{ = 6} \end{gathered}`