Worked Example 2: Simultaneous Linear Equations
Part of Graphical Solutions — GCSE Mathematics
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. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 6 of 9 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 9
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 ✓