Back to Prove system equivalence — Problem 1 · 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

Recall / Warm-Up

Two systems of equations are called equivalent if they have:

The same number of equations

The same solution set — every solution of one is also a solution of the other

Equations that look the same (identical left and right sides)

The same coefficients on the $x$ -terms