SPM 2017 Add Maths Paper 2, Question 1Systems of Equations

Solved on video in English and Bahasa Melayu · 5 marks · Form 4, Systems of Equations · 4:57 video

The question

Solve the following simultaneous equations: x - 3y = 1, x² + 3xy + 9y² = 7.

[5 marks]

Step 1

From x - 3y = 1, express x in terms of y: x = 3y + 1 ... (3)

Why this step

One equation is linear, so we can solve it for x and put that into the quadratic. This leaves just one unknown, y.

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

Final answer

x = 2, y = 1/3 or x = −1, y = −2/3

Where students lose marks

Watch out: expand (3y + 1)² fully with the 6y term, and give both (x, y) pairs, not just the first.

Watch every step of this question solved on video (4:57), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.