Solve the pair of equations $x = 3$ and $y = -4$ graphically.
Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer
The equation $x = 3$ is a vertical line parallel to the Y-axis, passing through (3, 0).
The equation $y = -4$ is a horizontal line parallel to the X-axis, passing through (0, –4).
On the graph, the two lines intersect at the point (3, –4).
∴ The solution is $x = 3,\ y = -4$.
Source: Chapter 3, Section 3.2 – Graphical Method of Solution of a Pair of Linear Equations
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Explanation
- $x = 3$ has no $y$-term, so it is a vertical line; $y = -4$ has no $x$-term, so it is a horizontal line. They always intersect at exactly one point.
- In the graph, mark the vertical line at $x = 3$ and the horizontal line at $y = -4$; their crossing point gives the solution directly.
- Examiners expect you to describe both lines, state that they intersect, and write the solution clearly. A rough sketch on graph paper (labelling the point of intersection) earns full marks.