ACARA AC9M10A02, Inequalities and simultaneous equations

Year 10 · Algebra

Solve linear inequalities and simultaneous linear equations in two variables, and interpret the solutions graphically and in context.

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Simultaneous equations: substitution and elimination

Year 9-10 (ages 14 to 16)

Teaching guide

What students learn

Solve linear inequalities and simultaneous linear equations in two variables, and interpret the solutions graphically and in context.

Worked example

Solve simultaneously: x + y = -11 and x - y = 5

Answer: x = -3, y = -8

Why: Adding the equations: 2x = -6, so x = -3. Then y = -11 - -3 = -8.

Generated and checked in code, so it is correct.

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More Year 10 Algebra codes: AC9M10A01 · AC9M10A03 · AC9M10A04 · AC9M10A05

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.