Edexcel IGCSE Math A 2.6.HB simultaneous equations as graphs

Practise the graphical-solution question by drawing the missing line on the grid and reading the intersection as the solution pair.

Exam points

Draw the second straight line accurately on the same grid as the given line.
Read the intersection point and state it as the simultaneous-equation solution.

[Maximum number: 3]

Here is the graph of the equation 2y+x=1 drawn on a grid.

By drawing another straight line on the grid, solve the simultaneous equations
$\begin{aligned} y-x-2&=0\\ 2y+x&=1 \end{aligned}$ $\begin{aligned} x&=\\ y&= \end{aligned}$

Figure for Question 2.6.HB Graphical interpretation of simultaneous equations question 1 — Edexcel IGCSE Math A Higher

Draw the line
y-x-2=0
or
y=x+2

For example, it goes through:
(-2,0), (-1,1), (0,2), (1,3), (2,4)

Intersection:
$\begin{gathered} x=-1\\ y=1 \end{gathered}$

Marking guidance:
- M1 for drawing the line y=x+2, long enough to see the intercept with the other line
- This question tests using graphs to solve simultaneous equations; ignore algebraic methods
- A2 for both values correct, dependent on M1; A1 for one correct value or both values reversed
- If more than one line is drawn, credit a correct line with correct coordinates

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2.6.HB Graphical interpretation of simultaneous equations question 1