Question

q is the midpoint pr, find the value of x.
p 7x - 16 q 4x + 2 r
a x = -\frac{11}{14}
b x = 18
c x = 6
d x = - 6

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: Isolate the variable terms

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

Step3: Isolate the variable

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

Step4: Solve for x

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

Answer:

C. $x = 6$