Solving Linear Equations Calculator

Linear equation is one of the subtopics in algebra. Linear equation is generally expressed in the form, Ax +By +C=0. The characteristic of linear equation is known by graphing. The graph will be a linear line. Algebra is one of the oldest and important topics of pure mathematics. Algebra was first stated by the Greek mathematicians. Algebra consists of constants and variables. Algebra is generally classified into algebra 1, algebra 2 and college algebra. Algebra 1 includes linear algebra, non linear, polynomials, equations etc. In this article, we are going to see about, solving linear equations calculator.
Solving Linear Equations Calculator:

Solving linear equations calculator is used to find the values of variables without manual calculation. These calculators are very useful for the students who are not well with the math formulas and arithmetic operations. Many websites provides free online linear equations calculator for solving the problems. When the required values are entered in the calculator, it automatically generates the output value. The picture of solving linear equations calculator is shown below,

Linear equation calculator


Solving Linear Equations Calculator: - Examples

Example 1:

Solve the equation, 2x + 5 = 4x + 3

Solution:

We have to solve the given equation,

2x + 5 = 4x + 3

Subtract 3 on both sides,

2x + 5 – 3 = 4x + 3 – 3

2x + 2 = 4x

Subtract 2x on both sides,

2x + 2 – 2x = 4x – 2x

2 = 2x

Divide 2 on both sides,

`2/2 = (2x)/2`

x = 1

The answer is 1.



Example 2:

Solve the equation, x + 12 = 3x + 2

Solution:

We have to solve the given equation,

x + 12 = 3x + 2

Subtract 2 on both sides,

x + 12 – 2 = 3x + 2 – 2

x + 10 = 3x

Subtract x on both sides,

x + 10 – x = 3x – x

10 = 2x

Divide 2 on both sides,

`10/2 = (2x)/2`

x = 5

The answer is 5.



Example 3:

Solve the equation, 2(3x + 4) = 2(x+2)

Solution:

We have to solve the given equation,

6x + 8 = 2x + 4

Subtract 8 on both sides,

6x + 8 – 8 = 2x + 4 – 8

6x = 2x -4

Subtract 2x on both sides,

6x – 2x = 2x + 2x -4

4x = -4

Divide 4 on both sides,

`(4x)/4 = -4/4`

x = -1

The answer is -1.