Students have many difficulties in algebra and do not
know how to solve algebraic equations. The equations are required to simplify
to get the right answer. If you have any difficulty in the simplification of linear
equations, you should know the simple process to simplify it. An easy process can bring a right solution of
the problems on this topic quickly. To understand algebra, you should learn how
to solve different types of algebraic equations. You should able to simplify
algebraic equations and to find the value of a variable.

linear equations |

**How to identify a linear equation?**

Algebraic equations are used in many fields of
mathematics. Linear equations are the algebraic equations which give a straight
line on the graph. Basically, it has two variables, and if you plot a graph
using the equation, you will obtain a straight line. There are so many
different forms to write these algebraic equations. But most common form has
variables like x or y and constants like 3 or 9 or c.

**Case 1**: some examples can help you to understand these equations as given below;

3y + 6 = 5x,

3( x + 1 ) = y – 2

x/2 = 3

5y – 6 = 0

**Case 2**: Normally, the variables do not have exponents or square and cube roots. Like x^2-2 = 0 and 4√y – x = 8

So, the equations listed in case 1 are the linear
equations whereas in case 2 are not these equations. Now, you can easily find
whether an algebraic equation is linear or not.

Here, a simple method to solve the problems of single
variable linear equations is given. You can use this method for solving the
equations that have a single variable.

**The simple process to simplify the linear equation**

·
Use the least common denominator to eliminate
any fraction, if the equation has a fraction. Multiply both sides by the LCD to
simply the equation.

·
Then, simplify the both sides of the linear
equation. For the simplification, clear out the entire parenthesis and also
combine the like terms.

·
The next step is just to put all the
variables on one side and all the constants on another side of the equation.

·
The last step is to solve the both sides by
addition or subtraction.

Here is an example following the above steps. You can see
this example to get a good method for simplifying equations.

7(x – 2) + 21 = 6 x is the problem and solution is given
below

7x- 14 + 21 = 6x

7x – 6x = 14 – 21

x= -7 is the right answer.

Many people do not verify the answer, but it is also
important to verify the answer. This is
very helpful you to identify that you have a right solution or not. It is useful to find your mistake. Put your
answer in the original equation in the place of the variable (here, ‘x’) and
then cross verify by solving it. There are so many other methods to simplify
such equations. The substitution method is the method to solve the linear
equations that have two variables.

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