Worked Example 2: Simultaneous Linear Equations
Part of Graphical Solutions · GCSE GCSE Mathematics revision
This study notes covers Worked Example 2: Simultaneous Linear Equations within Graphical Solutions for GCSE Mathematics. Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 6 of 10 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 6 of 10
Practice
9 questions
Recall
6 flashcards
Worked Example 2: Simultaneous Linear Equations
Solve graphically: y = 2x + 1 and y = -x + 4
Step 1 Plot first line: y = 2x + 1
y-intercept: (0, 1)
Gradient: 2 (up 2, right 1)
Another point: (1, 3)
Step 2 Plot second line: y = -x + 4
y-intercept: (0, 4)
Gradient: -1 (down 1, right 1)
Another point: (1, 3)
Step 3 Find intersection
Lines cross at point (1, 3)
Solution: x = 1, y = 3
Step 4 Check both equations
First: y = 2(1) + 1 = 3 ✓
Second: y = -(1) + 4 = 3 ✓
Keep building this topic
Read this section alongside the surrounding pages in Graphical Solutions. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Graphical Solutions
A straight line y = 3x − 6 is plotted on a graph. Where does the solution to 3x − 6 = 0 appear on the graph?
A student tries to solve the simultaneous equations y = 3x + 2 and y = 3x − 5 graphically. Explain what they will see on the graph and what this means for the solution.
Quick Recall Flashcards
9 questions on Graphical Solutions — practise free
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