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

2 Answers

2 votes

Answer:

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

User Boneheadgeek
by
8.0k points
4 votes

Answer:

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.

User Mike Ramsey
by
7.9k points

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