How can you tell they’ve got it: Simultaneous Equations?

If they’ve got it, you’ll see things like: Explain that the intersection of two lines represents values satisfying both equations; Find the approximate solution to a pair of simultaneous equations by reading a graph; Verify a proposed solution by substituting into both equations. Or just try it together: Can your child explain that solving two equations simultaneously means finding the one pair of values that satisfies both at once — and show what that looks like on a graph?

Mathematics Algebra Ages 13–14

Simultaneous Equations

Your child knows solving two equations together means finding the one pair of values that fits both. On a graph, it is where the lines cross.

In curriculum terms

Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations

Ages are typical, not deadlines — follow your child’s pace. How to help at home →

How to tell they’ve got it

Tick these off as you see them — no test required.

Explain that the intersection of two lines represents values satisfying both equations
Find the approximate solution to a pair of simultaneous equations by reading a graph
Verify a proposed solution by substituting into both equations

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Try this together

Can your child explain that solving two equations simultaneously means finding the one pair of values that satisfies both at once — and show what that looks like on a graph?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Solving Linear Equationsages 11–14Understanding simultaneous equations requires fluency with single linear equations

Plotting Linear Graphsages 12–14Simultaneous equations graphically requires plotting two linear graphs on the same axes

Equations with Two Unknownsages 10–11KS2 finding pairs satisfying an equation with two unknowns is a precursor to simultaneous equations

Simultaneous Equationsthis skill · ages 13–14

Unlocks

Nothing on the map depends on this yet.

solid = must come firstdashed = helps

Curriculum alignment

Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.

This skill sits beyond Year 6 in the Australian Curriculum, so no F–6 code is matched. It also sits beyond the NSW K–6 syllabuses. It also sits beyond Level 6 in the Victorian Curriculum.

Nearby on the map

Estimating answersages 13–14 Expanding Double Bracketsages 13–14 Quadratic Graphsages 13–14 Factorising Expressionsages 12–13

All Algebra skills →