If AD = 3x + 3 and CD = x + 9, what is the value of x?

Mathematics · High School · Wed Jan 13 2021

Answered on

Given:

AD = 3x + 3 and CD = x + 9

Determine the value of x.

Solution:

In order to determine the value of x, we equate the given equations into one single solution.

AD = CD

3x + 3 = x + 9

Transpose x and 3 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

3x - x = 9 - 3

2x = 6

Divide both sides by 2x in order to determine the value of x.

2x/2 = 6/2

x = 3

Final answer:

x = 3