what is the answer too 2/3x-7=11

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the equation:

2/3x  - 7 = 11

Determine the value of x

Solution:

In order to determine the value of x, we simply need to transpose -7 oo the other side of the equation, hence it must be taken to note, that in transposing a number, the sign changes.

⅔x - 7 = 11

⅔x = 11 + 7

⅔x = 18

Now we need to multiply both sides by 3/2 , which is the reciprocal of ⅔ in order to cancel out ⅔x and determine the value of x.

⅔x (3/2) = 18 (3/2)

x =54/2

x = 27

Final answer:

x = 27

 

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