select the correct answer. which value of w makes this equation true? $\frac{5w + 4}{3}=\frac{3w}{2}$ a. -8…

select the correct answer. which value of w makes this equation true? $\frac{5w + 4}{3}=\frac{3w}{2}$ a. -8 b. -2 c. -1 d. 8

select the correct answer. which value of w makes this equation true? $\frac{5w + 4}{3}=\frac{3w}{2}$ a. -8 b. -2 c. -1 d. 8

Answer

Answer:

A. -8

Explanation:

Step1: Cross - multiply

$2(5w + 4)=3\times3w$

Step2: Expand the left - hand side

$10w+8 = 9w$

Step3: Subtract 9w from both sides

$10w - 9w+8=9w - 9w$ $w+8 = 0$

Step4: Subtract 8 from both sides

$w+8 - 8=0 - 8$ $w=-8$