Systems of EquationsTwo lines, three methods, and what it means when there is no…8th GradeThe solution to a system is the point thatsatisfies both equations — where the two linescross.solve by graphing, substitution or eliminationy = 2x + 1 and 3x + y = 11(2, 5)Substitution — y is already alone.2x + 3y = 12 and 2x − y = 4(3, 2)Elimination — the 2x terms match.Parallel linesno solutionSame slope, different intercept. They never meet.Identical linesinfinite solutionsSame slope, same intercept.THE COMMON MISTAKE✗ solving for x and stopping✓ give both x and yThe solution is a point. One number is only half an answer.Always substitute your point back into BOTH equations. One is not acheck.Systems of Equationswww.littleactivity.com

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Math · 8th Grade

Systems of Equations

Two lines, three methods, and what it means when there is no answer.

How to use it

Choose the method from the shape of the equations, not from habit.

Free · print-ready PDF · US Letter and A4

Grade
8th Grade
Ages
13–14
Subject
Math
Pages
1

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