Question

K is the mid point of JL if : JK=9x-5 and KL=7x+3 find JL

Answer 1

Since K is the midpoint of JL the distance between JK should be the same KL

$\begin{gathered} JK=KL \\ 9X-5=7X+3 \end{gathered}$

solve the equation for X

$\begin{gathered} 9X-5=7X+3 \\ 9X-7X=3+5 \\ 2X=8 \\ X=4 \end{gathered}$

To find the value of JL, use the value of x and add both JK and JL

$\begin{gathered} JL=(9X-5)+(7X+3) \\ JL=(31)+(31) \\ JL=62 \end{gathered}$