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## JSS3: MATHEMATICS - 3RD TERM

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Lesson 3, Topic 1
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# Graphical Method

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#### Topic Content:

• Graphical Method

#### How to Solve Simultaneous Equations Graphically:

To solve simultaneous equations graphically:

1. Make a table of values for both equations
2. Draw the graphs for both equations on the same axes
3. Find the coordinates (i.e. x and y values) where both graphics intersect. These values are the solutions of both equations.
4. 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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