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## JSS3: MATHEMATICS - 3RD TERM

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Lesson 1, Topic 1
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# Simultaneous Linear Equation

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#### Topic Content:

• Simultaneous Linear Equation

A linear expression in x is usually written as ax + b, where a and b are constant .

A linear equation such as 3x – 2 = 7 has only one solution.

$$\scriptsize 3x \: – \: 2 = 7$$

$$\scriptsize 3x = 7 \: + \: 2$$

$$\scriptsize 3x = 9$$

$$\frac{3x}{3} = \frac{9}{3}$$

$$\scriptsize x = 3$$

If two equations are combined and solved at the same time and only one pair of solution satisfies them, it is called a simultaneous equation.

Example

$$\scriptsize y \: – \: x = -4$$

$$\scriptsize x \: + \: 2y = 7$$

There are three methods of solving simultaneous equation.

1.     Substitution method

2.     Elimination method

3.      Graphical method

N.B    Substitution and elimination methods are the algebraic methods of solving simultaneous equation.

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