Kuala Lumpur Trial 2025 Add Maths Paper 1, Question 4Systems of Equations

Solved on video in English · Form 4, Systems of Equations · 5:41 video

The question

Solve the following simultaneous equations: x + 3y = 12, y² − x² − 2xy = 8.

Step 1

From the linear equation, make x the subject: x = 12 − 3y (or equivalently y = (12 − x)/3).

Why this step

A linear equation is easy to rearrange. Writing x in terms of y lets us swap it into the harder equation, leaving one equation with only y.

4 more steps, each with the reason for it, in the full solution

Final answer

x = 0.7386, y = 3.754; x = −48.75, y = 20.25

Where students lose marks

Watch out: expand (12 − 3y)² fully, with its middle term, and keep each x paired with its own y.

Watch every step of this question solved on video (5:41), with the reason behind each step and a box that checks your own answer.

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