Write each equation in standard form
Choose a solving method
Use substitution when one equation is already solved for a variable
Use elimination when variables can be canceled by adding or subtracting equations
Use graphing to find the intersection point of the equations
Solve for one variable
Substitute the value into another equation
Check the solution in all original equations
State the solution as an ordered pair or ordered triple
Identify no solution if the equations are inconsistent
Identify infinitely many solutions if the equations represent the same line or plane