ALG-09 · Solve a two-variable linear system

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ALG-09 · Algebra

Solve a two-variable linear system

Systems of linear equations · Stage 2

Recognize the pattern

At an intersection, both equations have the same x and y.

Useful ruleSubstitute or eliminate

Build on: ALG-01 ALG-06

Try it before reading the solution

Solve y = x + 2 and y = 2x − 1.

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

Reasoning

Set x + 2 = 2x − 1, giving x = 3; then y = 5.

Answer

(x, y) = (3, 5)

Ready for adaptive practice

Practice questions remain in English, as on the SAT.

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