How do you solve this equation step-by-step?

Question

How do I solve this?

y-2x=-4

y+x=1

Answer 1

y - 2x = -4

y + x = 1

There are several ways to solve this. Here is one way. From the top equation, get

y = 2x - 4

Then plug this expression for y into the bottom equation and get

(2x - 4) + x = 1

Solve this last equation for x and get

3x = 5

x = 5/3

Plug this result for x into either equation and get y. Using the bottom equation,

y + 5/3 = 1

y = -2/3

Test the answer.