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Mathematics P1 Step 10 of 11 beginner

Simultaneous Equations and Algebraic Substitution

Solve linear and non-linear systems by substitution, keep your ordered pairs matched, and handle the exponent-law questions that look harder than they are.

By the end, you can

solve a simultaneous system by substitution and present the solutions as correctly paired values.

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Simultaneous Equations and Algebraic Substitution

QUEST MATH-P1-SIMULTANEOUS

Two unknowns, two equations

One equation with two unknowns has endless solutions. Two equations pin them down, because the answer must satisfy both at once. ➗

In Grade 12 one of the two is usually not linear, which rules out simply adding the equations. Substitution is the method that always works, and it is worth doing the same way every time.

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What you'll cover

  1. 1 Two unknowns, two equationsfree preview above
  2. 2 The substitution routine
  3. 3 Keep the pairs together
  4. 4 Substitute back into the simpler equation
  5. 5 Exponent laws in a system
  6. 6 Where the working goes wrong
  7. 7 A routine that survives pressure
  8. 8 The challenge
  9. 9 What to take with you

Your certificate

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Certificate of completion

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Simultaneous Equations and Algebraic Substitution

LCA-2026-••••••••

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Informal learning, not an accredited qualification.

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Simultaneous Equations and Algebraic Substitution: questions

How long does Simultaneous Equations and Algebraic Substitution take?
About 13 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does Simultaneous Equations and Algebraic Substitution cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P1-SIMULTANEOUS to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.

Simultaneous Equations and Algebraic Substitution

R19 · 13 min · certificate

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