Topic Content:
- Graphical Method
How to Solve Simultaneous Equations Graphically:
To solve simultaneous equations graphically:
- Make a table of values for both equations
- Draw the graphs for both equations on the same axes
- Find the coordinates (i.e. x and y values) where both graphics intersect. These values are the solutions of both equations.
- Check your solutions by putting these values into the original equations to make sure they satisfy them.
Example 3.1.1:
Solve the following pairs of simultaneous equations graphically:
4x – 2y = 4 …………..(1)
2x + y = 10 …………...(2)
Solution
In each equation, make y the subject of formula to satisfy the equation of a straight line
y = mx + c
From equation (1)
4x – 2y = 4
-2y = 4 – 4x
y = \( \frac{4 \: – \: 4x}{-2} \)
or
y = \(\scriptsize -2 \: + \: 2x \)
Use values of x from -1 to 2
When x = -1
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