Linear Equations

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Linear Equations:

Linear equation are of the form ax + by = C.
Highest order of the variable of linear equation is 1.

Types of Linear Equations: -

1. Simple Equation
2. Simultaneous Equation

1. Simple Equation:-

Linear Equations of the form ax+b = c are called Simple Equations.
Eg. 3x + 4 = 13

Properties of Simple Equation:-
1. It will have only one variable.
2. Highest order of the variable is 1.
3. Need only one equation to find unique values.

2. Simultaneous Equations: -

Linear Equations of the form ax + by = c & dx + ey = f.

3x + 4y = 11 & 4x + 2y = 8.

Properties of Simultaneous Equations:-

1. It will have more than one variable.
2. Order of power of variable is one.
3. For unique solution --> Number of variables = Number of independent equations.
4. Dependent Equation will have infinite solutions.