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.