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MathGrade 8-10

Solving Systems of Equations Answer Key

Solve systems of linear equations using graphing, substitution, and elimination methods.

Looking for Solving Systems of Equations answers? This complete answer key provides verified solutions for all student exploration activities and assessment questions in the ExploreLearning Solving Systems of Equations Gizmo.

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What's a System

Q1.What's a system of equations?

Answer

Two or more equations with the same variables. You're looking for values that make all equations true at the same time.

Q2.What does the solution represent on a graph?

Answer

The point where the lines intersect - the (x, y) coordinates that satisfy both equations.

Solution Methods

Q3.How does substitution work?

Answer

Solve one equation for a variable, then plug that expression into the other equation.

Q4.How does elimination work?

Q5.What if the lines are parallel?

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