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2×2 linear systems

Mathematics — first biennium · Lesson

Biennium · Common core

2×2 linear systems

Substitution and elimination transform the system without changing its solution pair. After finding one variable, substitute it to find the other.

Key idea
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Prerequisites: Meaning of systems and linear equations

Goal: Solve 2×2 systems by substitution or elimination and verify the pair.

What you need to know before the exercises

In this lesson: Solve 2×2 systems by substitution or elimination and verify the pair.

How to proceed: Try adding the equations when one variable cancels easily; then substitute the value found and check both sides of both equations.

You can already assume: Meaning of systems and linear equations.

Try it now

Solve the system and check the pair in both equations.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Try adding the equations when one variable cancels easily; then substitute the value found and check both sides of both equations.

Data / situation: 2x+y=-9; x−y=-3

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What you need to know for 2×2 linear systems

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