Verified Answer :

6x - 8y = 12
6x - 8y + 8y = 8y + 12
               6x = 8y + 12
                6          6
                 x = 1¹/₃y + 2

Hi there!


Since we have 2 variables in the given equation, and you only want to solve for one, the other will end up in your answer.


\(6x + 8y = 12\)


Step 1) Add 8y to both sides.


\(6x - 8y + 8y = 12 + 8y 6x = 8y + 12\)


Step 2) Divide both sides by 6.


\(\frac{6x}{6} = \frac{8y + 12}{6}\)


\(x = \frac{4}{3} y + 2\)


Final Answer -


\(x = \frac{4}{3} y + 2\)


Hope this helps! :D