Key Idea: System of Equations

A system of equations is a set of two or more equations with the same variables.
The solution is the point(s) where the equations are simultaneously true.

General Rule:

• Solve by substitution, elimination, or graphing.

• Graphically, the solution is the intersection point(s) of the equations’ graphs.

• Can have one solution, infinitely many solutions, or no solution.

Why this matters for the SAT:

System of equations problems test your ability to combine algebra and graphing.
Tools like Desmos can help visualize intersections quickly for checking solutions.