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Linear equation are important topic in maths. Lets check out Linear Equation Formula which consist for formula for one variable linear equation, two variable linear equation and three variable linear equation
Algebraic Equation
An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side
What is Linear equation in one Variable
We will restrict the above equation with two conditions
(a) algebraic equation in one variable
(b) variable will have power 1 only
or
An equation of the form ax + b = 0, where a and b are real numbers, such that a is not equal to zero, is called a linear equation in one variables
Linear equation in One variable has only one Solution. It can be solved as given below
What is Linear equation in two Variable
$ax+by+c=0 $, $a \neq 0$ and $b \neq 0$
- a, b and c are real number
- Infinite solution possible
- Linear equation in two variables is represented by straight line the Cartesian plane.
- Every point on the line is the solution of the equation.
- For $ax+by+c=0 \; , \; a \neq 0 \; and \; b \neq 0$. The point on Y-axis is given $(0,\frac{-c}{b})$ . The point on X-axis is given by $(\frac {-c}{a}, 0)$
Simultaneous pair of Linear equation
A pair of Linear equation in two variables
$a_1 x + b_1 y + c_1=0$
$a_2 x + b_2 y + c_2=0$
Graphically it is represented by two straight lines on Cartesian plane
Here is the Graphical Representation
Algebraic Solution of system of Linear equation
What is Linear equation in three Variable
$ax+by+cz +d=0 $, $a \neq 0$ , $b \neq 0$ and $c \neq 0$
- a, b and c are real number
- Infinite solution possible
- Linear equation in three variables is represented by straight line the three-dimensional Cartesian plane.
- Every point on the line is the solution of the equation.
Also Reads
BODMAS Rule
Algebraic Identities
Linear equation in One Variable Notes for Class 8
Pair of Linear equations in two Variable Class10 Notes