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Back to Prove system equivalence — Problem 2 · Task Set 40

Exercises: Prove That the Elimination Method Preserves Solution Sets

Work through each section in order. For proof problems, write complete logical arguments — state what you assume, what you conclude, and which properties justify each step.

Grade 9·19 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-rei-c-5
Work through problems with immediate feedback
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Fluency Practice

A diagram showing two directions of the equivalence proof. Direction 1 arrows from the original system to the new system. Direction 2 arrows from the new system back to the original system.
1.

State the REI.C.5 theorem in your own words. Your statement should explain: (a) what operation is being performed on the system, and (b) what the theorem claims about the resulting system.