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3 votes
5x+20y=4
x=-4y+1

Solve for x/y

1 Answer

4 votes

Hi there!


Looks like a lot of work is going on here.


Let's start by solving this equation for the x.



5x + 20y = 4


Step 1) Add -20y to both sides.



5x + 20y + - 20y = 4 - 20y 5x = -20y + 4


Step 2) Divide both sides by 5.



(5x)/(5) = (-20y + 4)/(5)



x = -4y + (4)/(5)


Final Answer:



x = -4y + (4)/(5)


Now, let's solve for y.


Step 1) Add -5x to both sides.



5x + 20y + - 5x = 4 + - 5x 20y = -5x + 4


Step 2) Divide both sides by 20.



(20y)/(20) = (-5x + 4)/(20)



y = (-1)/(4) x + (1)/(5)


Final Answer:



y = (-1)/(4) x + (1)/(5)


Hope this helps! :D


Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)

User Cgrand
by
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