ALG-10 · Classify a linear system

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ALG-10 · Algebra

Classify a linear system

Systems of linear equations · Stage 3

Recognize the pattern

Equal slopes with different intercepts make parallel lines.

Useful ruleCompare coefficient ratios

Build on: ALG-09

Try it before reading the solution

How many solutions do y = 2x + 1 and y = 2x − 3 share?

This teaching example is original and is not an official SAT question.

Reasoning

The lines both have slope 2 but intercepts 1 and −3.

Answer

No solution

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Practice questions remain in English, as on the SAT.

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