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# what is a linear equation

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What is a linear equation: An equation is a condition on a variable. A variable takes on different values; its value is not fixed . Variables are denoted usually by letter of alphabets, such as x, y , z , l , m , n , p etc. From variables we form expression. Linear equation in one variable : These are the type of equation which have unique (i.e, only one and one ) solution. For example: 2 x + 5 = 0 is a linear equation in one variable. Root of the equation is −52
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what is a linear equation
What is a linear equation: An equation is a condition on a variable. A variable takes on different values; its
value is not fixed . Variables are denoted usually by letter of alphabets, such as x, y , z , l , m , n , p etc. From
variables we form expression.
Linear equation in one variable : These are the type of equation which have unique (i.e, only one and one )
solution.
For example: 2 x + 5 = 0 is a linear equation in one variable.
Root of the equation is -52

Example of algebra linear equations in two variables
Example2: Find two different solutions of the equations.
(i) 4x + 3y = 12
(i ) 2x + 5y = 0
Solution 1: Let us take x=0, we get 3y = 12
i.e , y =4, So (0, 4 ) is a solution of the given equation.Similarly , by taking y=0 , we get x =3, thus , (3, 0) is also a
solution.
Two different solutions are (0,4) and (3,0)
Solution2:Let us take x=0 , we get 5y = 0, i.e y=0.
So (0,0) is a solution of a given equation.To get another solution , take x=1 , so corresponding value of y is -25.
So (1, -25) is second solution.
Two different solutions are (0,0) and (1, -25).

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