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Maths•SHS Core: Algebra & Equations

Simultaneous equations & inequalities

Senior High 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial teamLast updated
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What simultaneous equations & inequalities means

You learn to find unknown values from two or more simple algebra statements. This helps you handle linked equations and decide which values satisfy a condition.

What you will practise

  • Solve two linear equations by adding or subtracting
  • Use substitution when one equation already gives a value
  • Work out which values make a linear inequality true
  • Check answers by putting them back into the equations

Before you start

You should already be comfortable with basic algebra, collecting like terms, and solving one-step and two-step equations. You also need to know how to work with positive and negative numbers.

Not confident yet? Work through Quadratic equations first.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

Solve: x + y = 10 and x − y = 4. Find x.

  • 5
  • 6
  • 7
  • 8
Answer: 7

Working: Add the equations: 2x = 14, so x = 7 (and y = 3).

Common mistakes to avoid

  • Mixing up addition and subtraction when eliminating a variable. Recheck the signs before you combine the equations.
  • Forgetting to change the inequality sign when multiplying by a negative number. Always watch the sign carefully.
  • Stopping after finding one variable and not finding the other. Use the value again to complete the pair.
  • Not checking whether the final values satisfy both equations or the inequality. Substitute them back to confirm.

Curriculum and exam alignment

Ghana GES SHS syllabusWASSCE

This work usually appears in SHS algebra lessons as part of equation solving and inequality practice. It supports the kind of reasoning often tested in WASSCE mathematics papers.

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Related skills

Other SHS Core: Algebra & Equations skills in Maths, at the same point in the course.

Other Maths topics

Picture Addition & SubtractionEarly NumeracyNumber BasicsSHS Core MathematicsUniversity MathematicsAlgebra

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Exams that assess simultaneous equations & inequalities

Senior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.

WASSCEWASSCE practice questionsFree WASSCE practice across the subjects at this stage, with worked answers.GESGES practice questionsFree GES practice across the subjects at this stage, with worked answers.BECEBECE practice questionsListed as a related subject on the BECE practice page.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

Written by
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Practise simultaneous equations & inequalities

6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

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