Solve by elimination

*-5y=10 and

2*-10y=20

To solve for the systems x-5y=10, 2x-10y=20 by elimination, first multiply the first equation by - 2 which will get you to - 2x+10y=-20, 2x-10y=20. Then, now that you have terms that can be eliminated, you add the two equations together:

(-2x+2x) + (10y-10y) = (-20+20)

This will result in the answer 0=0 meaning that the solutions are all real numbers.