Write both equations in standard form: (ax + by = c) and (dx + ey = f)
Choose a method: substitution, elimination, or graphing
For substitution:
Solve one equation for one variable
Substitute that expression into the other equation
Solve for the remaining variable
Substitute back to find the second variable
For elimination:
Multiply one or both equations so one variable has opposite coefficients
Add or subtract the equations to eliminate one variable
Solve for the remaining variable
Substitute back to find the second variable
For graphing:
Rewrite both equations in slope-intercept form if possible
Graph both lines
Identify the point where they intersect
Check the solution by substituting both values into both equations
Write the solution as an ordered pair ((x, y))