Solve the following system of equations: −2x + y = 1 −4x + y = −1

Make one of the variables drop out.

I'd go for the y since it's easiest in this problem.

Time the top equation by -1.

This changes the system to:


Add the equations.




The equation would be:

Or simply:

Solve for x by dividing.


Then, plug x into one of the original equations to find y.

I'm going to use the first one since the numbers are smaller, but you CAN use either.




Put these into an ordered pair.

(0,1)

That is your answer.

Hope this helped!

:)