Linear Equations Examples

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					                   Linear Equations Examples
Linear Equations Examples

A linear equation in one variable has a single unknown quantity called a variable represented
by a letter. Eg: ‘x’, where ‘x’ is always to the power of 1. This means there is no ‘ x² ’ or ‘ x³ ’ in
the equation.

The process of finding out the variable value that makes the equation true is called ‘solving’
the equation.

An equation is a statement that two quantities are equivalent.

For example, this linear equation: x + 1 = 4 means that when we add 1 to the unknown value,
‘x’, the answer is equal to 4.

To solve linear equations, you add, subtract, multiply and divide both sides of the equation by
numbers and variables, so that you end up with a single variable on one side and a single
number on the other side.

 As long as you always do the same thing to BOTH sides of the equation, and do the
operations in the correct order, you will get to the solution.

                                                 Know More About :- Examples of Polynomials                                                         Page No. :- 1/4
For this example, we only need to subtract 1 from both sides of the equation in order to isolate
'x' and solve the equation:


Now simplifying both sides we have:

x+0 =3


X =3

With some practice you will easily recognise what operations are required to solve an

Here are possible ways of solving a variety of linear equation types.

Example 1, Solve for ‘x’ :

x + 1 = -3

1. Subtract 1 from both sides:
x + 1 - 1 = -3 - 1

2. Simplify both sides:
x = -4

                             Learn More :- What is the Dependent Variable in an Experiment                                                    Page No. :- 2/4
One more example of find the size of the angle if two angles are complementary with each
other as

Example no (4) : If the size of one angle that is angle 1 is 60 ' and size of other angle that is
angle 2 is not given and these given angles angle 1 and angle 2 are complementary with each
other then find the size of angle 2 ?

Solution : As give that the angle 1 and angle 2 are complementary angles and these are
denoted as

angle 1 – angle 2 = 90 '

angle 1 = 60 ' and angle 2 = ?

Then angle 2 = 90 ' - angle 1

angle 2 = 90 ' - 60 '

angle 2 = 30 '                                                     Page No. :- 4/4
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