Question

(AB) 7x + 10 = 9x + 2 (BD)

find the length of AB

Answer 1

(AB) = 7x + 10

(BD) = 9x + 2

AB = BD

7x + 10 = 9x + 2

Solve for x.

7x - 9x = 2 - 10

-2x = -8

x = 4

AB = 7x + 10

AB = 7(4) + 10

AB = 28 + 10

AB = 38

Answer 2

AB = 7x + 10

BD = 9x + 2

AB = BD, therefore

7x + 10 = 9x + 2        subtract 10 from both sides

7x = 9x - 8        subtract 9x from both sides

-2x = -8       divide both sides by (_2)

x = 4

Put the value of x to the expression 7x + 10:

AB = 7(4) + 10 = 28 + 10 = 38

Answer: AB = 38