What Is A Linear Equation

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 $\frac{-5}{2}$ Example 1 :- Convert the following equation in statement form. x-5=9 Solution :Know More About Find the Area of the Parallelogram Pictured below

5 taken from x gives 9 So x = 9 + 5 = 14 Hence, x = 14 For verification of the statement, x-5=9 14 - 5 = 9 9 = 9 So left hand side value is equal to right hand side value.

Hence the value of x determined is correct .

You can try out some more examples from linear equations worksheets Linear equation in two variable :- An equation which can be put in the form ax+by+c=0, where a, b, and c are real numbers, and a and b are not zero, is called linear equation in two variables.

For example :- 3 x + 4 y = 8 which is a equation in two variables.

Summary :Learn More On :- Formula for Area of a Parallelogram

A linear equation in two variable has infinitely many solutions.The graph of every linear equation in two variable is a straight line.

Every point on the graph of a linear equation in two variable is a solution of the linear equation.

An equation of the type y = mx represents a line passing through the origin.

How to Solve Linear Equations Below are the methods for solving linear equations in one variable: Method 1 :- Isolate the variable: In this method we will isolate the variable on one side and number on other sides.

Steps and example for solving equation: Example 1 :- solve 2x + 3 =15 Solution 1 :- Given equation is: 2x + 3 = 15 Step 2 :- Subtract 3 from both side 2x + 3 - 3 = 15 - 3 2 x =12

Step3 :- Isolate the variable by dividing 2 to both side 2x2 = 122 x=6 Solution is 6 Method 2 :- Graph method for linear equation in two variable.

The graph of every linear equation in two variables is a straight line. Every point on the graph of a linear equation is a two variables is a solution of the linear equation. moreover, every solution of the linear equation is a point on the graph of the linear equation Example 1 :- Solve graphically y + 2x =6 Solution 1:- Given equation: y + 2x = 6

Linear Equation Calculator Linear Equations is an equation that makes a straight line when it is graphed. Online Linear Equations Calculator is a tool which makes calculations easy and fun.

It is used to calculate the value of a unknown variable "x". Try our Linear Equations Calculator and get your problems solved instantly.

Steps for Linear Equations Calculator Step 1 :Observe the value of a,b and c from the equation Step 2 :Apply the formula x = (c−b)a

Example on Linear Equations Calculator 1. Solve for x in the equation: 2x + 3 = 5?

Step 1 :Here, a = 2, b = 3 and c = 5 Step 2 :x = (c−b)a = (5−3)2 = 22 = 1 Answer :x=1 2. Solve for x in the equation: 3x + 6 = 9?

Step 1 :- Here, a = 3, b = 6 and c = 9 Step 2 :- x = (c−b)a = (9−6)3 = 33 = 1 Answer : - x = 1 Read More On :- Area of a Parallelogram Formula

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