SOLUTION: Rewrite the expression so that y is a function of x 1/3(y+2)+3x=7y How do you solve this?

Algebra ->  Functions -> SOLUTION: Rewrite the expression so that y is a function of x 1/3(y+2)+3x=7y How do you solve this?      Log On


   

Question 225092: Rewrite the expression so that y is a function of x
1/3(y+2)+3x=7y
How do you solve this?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
All we're doing here is solving for 'y':


%281%2F3%29%28y%2B2%29%2B3x=7y Start with the given equation.


y%2B2%2B9x=21y Multiply EVERY term (outside the parenthesis) the LCD 3 to clear out the fraction.


y%2B9x=21y-2 Subtract 2 from both sides.


y=21y-2-9x Subtract 9x from both sides.


y-21y=-2-9x Subtract 21y from both sides.


-20y=-2-9x Combine like terms on the left side.


-20y=-9x-2 Rearrange the terms.


y=%28-9x-2%29%2F%28-20%29 Divide both sides by -20 to isolate y.


y=%28-9x%29%2F%28-20%29-2%2F%28-20%29 Break up the fraction.


y=%289%2F20%29x%2B1%2F10 Reduce.


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Answer:

So the solution is y=%289%2F20%29x%2B1%2F10