SOLUTION: Question 309816: I am trouble solving the equation for y: Show the steps. {{{x= (5y-3)/(y+2)}}}

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Question 309817: Question 309816: I am trouble solving the equation for y:
Show the steps.

x=+%285y-3%29%2F%28y%2B2%29
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
x=+%285y-3%29%2F%28y%2B2%29

Put a 1 under the x

x%2F1=+%285y-3%29%2F%28y%2B2%29

Cross-multiply:

x%28y%2B2%29=1%285y-3%29

Distribute:

xy%2B2x=5y-3

Isolate terms which contain y by adding -2x-5y to both sides:

xy-5y=-2x-3

Factor out y on the left:

y%28x-5%29=-2x-3

Divide both sides by %28x-5%29

%28y%28x-5%29%29%2F%28%28x-5%29%29=%28-2x-3%29%2F%28%28x-5%29%29

Cancel:

%28y%2Across%28%28x-5%29%29%29%2F%28cross%28%28x-5%29%29%29=%28-2x-3%29%2F%28x-5%29

y=%28-2x-3%29%2F%28x-5%29

Edwin