Simultaneous Linear Equations (Sec 2) Practice
Solve pairs of simultaneous linear equations using substitution and elimination methods. Translate word problems into two-variable systems and interpret solutions graphically. A major O-Level topic.
Common Mistakes to Avoid
Using elimination when coefficients don't align β scale them first
In substitution, substituting into the same equation you derived the subject from
Arithmetic errors when adding/subtracting equations in elimination
Practice Questions
Try each question. When you're stuck, reveal the Socratic strategy β a guided hint that teaches you how to think, not just what to write.
Solve: x + y = 10 and x β y = 2.
Solve: y = 2x and 3x + y = 15.
Two numbers sum to 20 and their difference is 4. Find the numbers.
Parent & Tutor Insight
Simultaneous equations are one of those topics where students make most of their errors in arithmetic, not concept. Encourage neat layout: write each equation numbered, and label each step. Examiners award method marks even for wrong numerical answers.
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