Question

if q is the mid - point of pr, find the value of x.
7x - 16
4x + 2
p
q
r

Explanation:

Step1: Set up the equation

Since Q is the mid - point of PR, then PQ = QR. So we set up the equation $7x−16 = 4x + 2$.

Step2: Move the x - terms to one side

Subtract $4x$ from both sides: $7x-4x−16=4x - 4x+2$, which simplifies to $3x−16 = 2$.

Step3: Move the constant to the other side

Add 16 to both sides: $3x−16 + 16=2 + 16$, resulting in $3x=18$.

Step4: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{18}{3}$, so $x = 6$.

Answer:

$x = 6$