Pick the equation with a lesser exponential power to begin working with. If you have an equation which is
x+y=2
and the other one is
x^2+2y=12,
then chose the first equation.
Solve the equation for a variable. Work the equation
x+y=2
to find the value of one variable in relation to the other. Solve this equation for y, so
y=x-2.
Substitute the value of y into the other equation. The equation
x^2+2y=12
will be rewritten as
x^2+2(2-x)=12.
Multiply out the terms and put the equation into quadratic form.
x^2+2(2-x)=12
becomes
x^2+4-4x=12.
Rearranging the terms, the equation becomes
x^2-2x-8=0.
Solve the equation for the variable.
x^2-2x-8=0
becomes
(x-4)(x+2)=0.
x equals -2 and 4.
Substitute the values into the first equation. So
-2+y=2 and 4+y=2
and y equals -2 and 4.