Question

Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction

Answer 1

Answer:

$x = 7$

Step-by-step explanation:

Given

$\frac{4}{3}x - \frac{1}{3} = 9$

Required

Solve for x

$\frac{4}{3}x - \frac{1}{3} = 9$

Add $\frac{1}{3}$ to both sides

$\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}$

$\frac{4}{3}x = 9 + \frac{1}{3}$

Take LCM

$\frac{4}{3}x = \frac{27 + 1}{3}$

$\frac{4}{3}x = \frac{28}{3}$

Multiply both sides by $\frac{3}{4}$

$\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}$

Evaluate the left hand side

$x = \frac{3}{4} *\frac{28}{3}$

$x = \frac{28}{4}$

Divide 28 by 4

$x = 7$