Write both equations in standard form
Choose a method: substitution, elimination, or graphing
If using substitution, solve one equation for one variable
Substitute that expression into the other equation
Solve the resulting one-variable equation
Substitute the found value back into either original equation
Solve for the second variable
Check the solution in both original equations
If using elimination, line up like terms
Add or subtract the equations to eliminate one variable
Solve the resulting one-variable equation
Substitute back to find the other variable
Check the solution in both original equations
If using graphing, graph both equations on the same coordinate plane
Find the intersection point
Use the intersection coordinates as the solution
Check the point in both equations