Question

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

Answer 1

Explanation:

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

`(4)/(9)*(3)/(8)x-(4)/(9)*(27)/(16)=(13)/(4)\\(x)/(6)-(3)/(4)=(13)/(4)\\(x)/(6)=(13)/(4)+(3)/(4)=4\\x=4*6=24`

Answer 2

x = 24

Explanation:

Consider the given equation

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

We need to find the value of x.

Using distributive property we get

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

`(1)/(6)x-(3)/(4)=(13)/(4)`

Add 3/4 on both sides.

`(x)/(6)=(13)/(4)+(3)/(4)`

`(x)/(6)=(16)/(4)`

`(x)/(6)=4`

Multiply both sides by 6.

`(x)/(6)* 6=4* 6`

[tex]x=24/tex]

Therefore, the value of x is 24.