SOLUTION: Write the equation(S) in function form, please. 5x-y=-1 and 2y+3x=2 Thanks a bunch- curious learner

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Question 293257: Write the equation(S) in function form, please. 5x-y=-1 and 2y+3x=2
Thanks a bunch- curious learner
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

First we must solve for y:

5x-y=-1 Start with the given equation.


-y=-1-5x Subtract 5x from both sides.


-y=-5x-1 Rearrange the terms.


y=%28-5x-1%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=%28%28-5%29%2F%28-1%29%29x%2B%28-1%29%2F%28-1%29 Break up the fraction.


y=5x%2B1 Reduce.


Now replace 'y' with f(x) to get f%28x%29=5x%2B1


So the function is f%28x%29=5x%2B1

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# 2


Again, we must solve for y:


2y%2B3x=2 Start with the given equation.


2y=2-3x Subtract 3x from both sides.


2y=-3x%2B2 Rearrange the terms.


y=%28-3x%2B2%29%2F%282%29 Divide both sides by 2 to isolate y.


y=%28%28-3%29%2F%282%29%29x%2B%282%29%2F%282%29 Break up the fraction.


y=-%283%2F2%29x%2B1 Reduce.


Now replace 'y' with f(x) to get f%28x%29=-%283%2F2%29x%2B1


So the function is f%28x%29=-%283%2F2%29x%2B1