Question

R is the midpoint of line segment of PQ. PR is 3x + 6 and RQ is 5x - 2.

Find the following.
x: 4

Answer 1

To find the value of x in the given equation, set the expressions for PR and RQ equal to each other and solve for x. The value of x is 4.

Step-by-step explanation:

To find the value of x, we can set the expressions for PR and RQ equal to each other since R is the midpoint of PQ:

3x + 6 = 5x - 2

Next, subtract 3x from both sides and add 2 to both sides to isolate the variable:

6 + 2 = 5x - 3x

8 = 2x

Divide both sides by 2:

x = 4

Therefore, the value of x is 4.