
To solve a system of equation using elimination:
1. If it is necesary multyiply one of both equations for a number that makes each equation have an opposite term to the other equation.
In this case the equations already have opposite terms (2x and -2x)
2. Add equations:
3. Solve the variable in the result of substraction:

4. Use the value of the variable you get in the previus step to solve the other variable:

Then, the solution for the system of equations is x=1 and y=2