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How do you solve 3/4x-9=27

Sagot :

ANSWER

x = 48

EXPLANATION

To solve this equation:

[tex]\frac{3}{4}x-9=27[/tex]

First we have to leave only the term that contains 'x' on one side of the equation. To do this we have to add 9 on both sides of the equation:

[tex]\begin{gathered} \frac{3}{4}x-9+9=27+9 \\ \frac{3}{4}x=36 \end{gathered}[/tex]

Now we have to multiply both sides by 4 and divide both sides by 3 - in other words, multiply both side sby 4/3:

[tex]\begin{gathered} \frac{3}{4}\cdot\frac{4}{3}x=36\cdot\frac{4}{3} \\ x=\frac{36}{3}\cdot4 \\ x=12\cdot4 \\ x=48 \end{gathered}[/tex]