Math I · A-REI.5

Justify elimination: replacing one equation in a two-variable system with a linear combination preserves solutions.

Justify elimination: replacing one equation in a two-variable system with a linear combination preserves solutions.

Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

9 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Verify that replacing an equation in a system preserves a solution

4 variants
Template 2

Decide whether an elimination step is valid

4 variants
Template 3

Find a multiplier to eliminate a variable

4 variants
Template 4

Compare system transformations and decide which preserves solutions

4 variants
Template 5

Find the first invalid step in an elimination solution

4 variants
Template 6

Show that an original system and transformed system share the same ordered-pair solution

4 variants
Template 7

Decide whether an elimination action loses system information

4 variants
Template 8

Decide whether a system replacement is equivalent

4 variants
Template 9

Form and verify an elimination row combination

4 variants