math question math

Question

4 = 1/3(4x +9)

solve for x in simplest from

Answer 1

4 = 1/3 (4x + 9)

(3)(4) = (3)(1/3) (4x + 9).

Multiply both sides of the equal sign by the reciprocal of 1/3 to get rid of the fraction.

12 = 4x + 9

-9. -9

Subtract 9 from both sides of the equal sign to help get x by itself.

3 = 4x

4. 4

Divide both sides of the equal sign by the coefficient of x

3/4 = x

Check Work:

4 = 1/3 (4x + 9)

4 = 1/3 (4(3/4) + 9)

4= 1/3 (12/4 + 9)

4= 1/3 (3 + 9)

4= 1/3 (12)

4= 4