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:
[tex]2x + - y = 1[/tex]
[tex] - 4x + y = - 1[/tex]
Add the equations.
[tex]2x + - 4x = - 2x[/tex]
[tex] - y + y = 0[/tex]
[tex]1 + - 1 = 0[/tex]
The equation would be:
[tex] - 2x + 0 = 0[/tex]
Or simply:
[tex] - 2x = 0[/tex]
Solve for x by dividing.
[tex]x = 0 \div - 2[/tex]
[tex]x = 0[/tex]
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.
[tex] - 2(0) + y = 1[/tex]
[tex]0 + y = 1[/tex]
[tex]y = 1[/tex]
Put these into an ordered pair.
(0,1)
That is your answer.
Hope this helped!
:)
