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

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Recall / Warm-Up

The ordered pair $(2, 3)$ is a solution to a system if it satisfies:

At least one equation in the system

The first equation only

Every equation in the system simultaneously

The equation with the smallest coefficients