On this page, we hope to clear up problems that you might have
with using graphs to find solutions to systems of equations.
You've probably already got a great understanding of how to solve systems of equations by either substitution or elimination, so the only thing you might be having trouble with when dealing with this method is the graphs. Remember that the lines can only cross in one place, and that this method is often inaccurate because you sometimes have to estimate where the lines actually cross.
1. Solve: y = x + 1 and y = -2x + 4
Always be on the lookout for tricky situations, such as systems of equations that when graphed are two parallel lines. Since they're parallel, they will never intersect, and there will be no solution to that problem.
Back to Graphing on the Coordinate Plane.