Simultaneous linear equations
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Log in to continueFind a pair satisfying two equations and connect it with a graph intersection.
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Solve x + y = -3 and 2x − y = -9. Give (x, y).
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Answer: (-4, 1)
- Add the equations to eliminate y.
- 3x = -12, so x = -4.
- Substitute into x + y = -3: y = 1.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Find a pair satisfying two equations and connect it with a graph intersection.
Read the official VCAA curriculum description (VC2M10A09)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10A09-C01Add or subtract equivalent equations to remove a variable.
- VC2M10A09-C02Find where two straight-line relations agree.
- VC2M10A09-C03Use graphical and digital methods to solve and interpret simultaneous equations.
- VC2M10A09-C04Apply and explain simultaneous linear equations using read and connect representations.
- VC2M10A09-C05Apply and explain simultaneous linear equations using calculate and explain each step.
- VC2M10A09-C06Apply and explain simultaneous linear equations using build and check a model.
- VC2M10A09-C07Apply and explain simultaneous linear equations using work backwards from what is known.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Eliminate one variableAdd or subtract equivalent equations to remove a variable.
- D02Read the same solution graphicallyFind where two straight-line relations agree.
- D03Read and connect representationsApply and explain simultaneous linear equations using read and connect representations.
- D04Calculate and explain each stepApply and explain simultaneous linear equations using calculate and explain each step.
- D05Build and check a modelApply and explain simultaneous linear equations using build and check a model.
- D06Work backwards from what is knownApply and explain simultaneous linear equations using work backwards from what is known.