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7.2 Simultaneous Equations

Two or more equations (system of equations) that are true at the same time and are therefore satisfied by the same values of unknowns involved; are called simultaneous equations.

The equations 2 x + y = 3

 3x + 4y = 2

are simultaneous equations having solution x = 2, y = -1

Method of solving the simultaneous equations :

1. Method of substitution

This method involves substituting one equation into another.

Example    Solve the equations x = 2 + y

x + 2 y = 17

Solution:     x = 2 + y . . . (1)

x + 2 y = 17 . . . (2)

From (1), Substitute (y + 2) for x in (2)

( y + 2) + 2 y = 17

3 y + 2 = 17

Transposing, 3 y = 15

\ y = 5

Now insert y = 5 in (1)

x = 5 + 2

x = 7

\ x = 7 , y = 5 . . . Required solution

Index

7.1 Definition
7.2 Simultaneous Equations
7.3 Inequations (Inequalities)
7.4 Absolute Values

Chapter 8

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