Use these graphs to solve the simultaneous equations
5x - 9y = -46
y = -2x
---
Use this graph to find estimates for the solutions of the quadratic equation
x² - 4x + 2 = 0 - Edexcel - GCSE Maths - Question 10 - 2020 - Paper 3
Question 10
Use these graphs to solve the simultaneous equations
5x - 9y = -46
y = -2x
---
Use this graph to find estimates for the solutions of the quadratic equation
x² - 4... show full transcript
Worked Solution & Example Answer:Use these graphs to solve the simultaneous equations
5x - 9y = -46
y = -2x
---
Use this graph to find estimates for the solutions of the quadratic equation
x² - 4x + 2 = 0 - Edexcel - GCSE Maths - Question 10 - 2020 - Paper 3
Step 1
5x - 9y = -46
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Answer
To solve the simultaneous equations using the graphs, identify the intersection point of the lines represented by the equations.
From the graph:
The line of the first equation (5x - 9y = -46) intersects the line y = -2x at the point (3, -6).
Thus, the solution can be expressed as:
x=3,y=−6.
Step 2
x² - 4x + 2 = 0
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Answer
Using the graph of the quadratic equation, we need to estimate where the curve intersects the x-axis.
From the graph shown:
The points of intersection occur approximately at x = 0.5 and x = 3.5.
