Identify the variables
Write both equations in standard form
Choose a method: substitution, elimination, or graphing
Solve one equation for one variable if using substitution
Substitute that expression into the other equation
Solve the resulting equation
Substitute back to find the other variable
Check the solution in both equations
Write the solution as an ordered pair or set of values
If the equations represent the same line, there are infinitely many solutions
If the equations contradict each other, there is no solution