Question

4/9 (3/8 x- 27/16) = 13/4

Answer 1

Answer:

x = 24

Step-by-step explanation:

Consider the given equation

$\frac{4}{9}(\frac{3}{8}x-\frac{27}{16})=\frac{13}{4}$

We need to find the value of x.

Using distributive property we get

$\frac{4}{9}(\frac{3}{8}x)+\frac{4}{9}((-\frac{27}{16})=\frac{13}{4}$

$\frac{1}{6}x-\frac{3}{4}=\frac{13}{4}$

Add 3/4 on both sides.

$\frac{x}{6}=\frac{13}{4}+\frac{3}{4}$

$\frac{x}{6}=\frac{16}{4}$

$\frac{x}{6}=4$

Multiply both sides by 6.

$\frac{x}{6}\times 6=4\times 6$

[tex]x=24/tex]

Therefore, the value of x is 24.

Answer 2

Answer:

Step-by-step explanation:

4/9(3/8x-27/16)=13/4

$\frac{4}{9}*\frac{3}{8}x-\frac{4}{9}*\frac{27}{16}=\frac{13}{4}\\\frac{x}{6}-\frac{3}{4}=\frac{13}{4}\\\frac{x}{6}=\frac{13}{4}+\frac{3}{4}=4\\x=4*6=24$