Back to Prove system equivalence — Problem 3 · 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
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A

Recall / Warm-Up

1.

In solving the single-variable equation 2x+4=102x + 4 = 10, we subtract 4 from both sides to get 2x=62x = 6. This is justified by: