SOLUTION: rewrite so that y is a function of x 1/5(25-5y)=4x-9y+13

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Question 225105: rewrite so that y is a function of x
1/5(25-5y)=4x-9y+13
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F5%29%2825-5y%29=4x-9y%2B13 Start with the given equation.


25-5y=20x-45y%2B65 Multiply every term outside the parenthesis by the LCD 5 to clear out the fractions.


-5y=20x-45y%2B65-25 Subtract 25 from both sides.


-5y%2B45y=20x%2B65-25 Add 45y to both sides.


40y=20x%2B65-25 Combine like terms on the left side.


40y=20x%2B40 Combine like terms on the right side.


y=%2820x%2B40%29%2F%2840%29 Divide both sides by 40 to isolate y.


y=%2820x%29%2F%2840%29%2B40%2F%2840%29 Break up the fraction.


y=%281%2F2%29x%2B1 Reduce.


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Answer:

So the solution is y=%281%2F2%29x%2B1