Verified Answer :

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.


\(\frac{5x}{5} = \frac{-20y + 4}{5}\)


\(x = -4y + \frac{4}{5}\)


Final Answer:


\(x = -4y + \frac{4}{5}\)


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.


\(\frac{20y}{20} = \frac{-5x + 4}{20}\)


\(y = \frac{-1}{4} x + \frac{1}{5}\)


Final Answer:


\(y = \frac{-1}{4} x + \frac{1}{5}\)


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. :)