Question

if kl = 9x - 17 and lm = 7x + 9, then x =?

Explanation:

Step1: Set up equation

Since the marks on the line - segment indicate that \(KL = LM\), we set up the equation \(9x−17 = 7x + 9\).

Step2: Move x - terms to one side

Subtract \(7x\) from both sides: \(9x-7x−17=7x - 7x+9\), which simplifies to \(2x−17 = 9\).

Step3: Isolate the x - term

Add 17 to both sides: \(2x−17 + 17=9 + 17\), resulting in \(2x=26\).

Step4: Solve for x

Divide both sides by 2: \(\frac{2x}{2}=\frac{26}{2}\), so \(x = 13\).

Answer:

\(x = 13\)