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 one original equation
Solve for the second variable
Check both values in both equations
If using elimination, align like terms
Multiply one or both equations if needed so one variable has opposite coefficients
Add or subtract the equations to eliminate one variable
Solve the resulting one-variable equation
Substitute back to find the other variable
Check both values in both 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 solution in both equations
Write the solution as an ordered pair
State whether the system has one solution, no solution, or infinitely many solutions