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# Linear equations

Shortcut tricks on linear equations are one of the most important topics in exams. Time takes a huge part in competitive exams. If you know how to manage time then you will surely do great in your exam. Most of us miss that part. Few examples on linear equations shortcuts is given in this page below. We try to provide all types of shortcut tricks on linear equations here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Linear equations.

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Using basic math formula do first ten maths of that page. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now practice our shortcut tricks on linear equations and read examples carefully. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of timing. This time you will surely see improvement in your timing. But this is not all you want. If you need to improve your timing more then you need to practice more.

Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other topics are less important. You can get a good score only if you get a good score in math section. You can get good score only by practicing more and more. The only thing you need to do is to do your math problems correctly and within time, and this can be achieved only by using shortcut tricks. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential that you may do maths within time without using any shortcut tricks. But so many people can’t do this. Here we prepared linear equations shortcut tricks for those people. We always try to put all shortcut methods of the given topic. But if you see any tricks are missing from the list then please inform us. Your little help will help others.

Linear Equations
A Linear equations is a mathematical equation where the power of any constant unknown variable is always one and the variable has one or more than one is known as linear equations. In maths exam papers there are two or three question are given from this chapter.

This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

Example:

ax2 + bx + c = 0

It is equal to 0 and the a, b, c are the constant value and we can say that x represent as unknown.

The a ,b, c are the constant and coefficient or linear coefficient. Quadratic equation hold the only power of x which is also non negative integer.

Example #1

7x + 3y = 15 …….. equation (i)
10x + 5y = 10 ……. equation (ii)

Find the value of x and y.

1. x = 3 and y = 22
2. x = 5 and y = 20
3. x = 7 and y = 18
4. x = 9 and y = 16

Show Answer Show How to Solve Open Rough Workspace

How to Solve
At first we multiply the first equation by 5 and second equation by 3.
35x + 15y = 75 ……. equation (i) ( Multiply by 5 )
30x + 15y = 30 ……. equation (ii) ( Multiply by 3 )
…………………………………………………………………..
5x = 45
x = 9.

We apply value of x in any equation to obtain y value.
We apply in equation (i).
7 x 9 + 3y = 15
63 + 3y = 15
3y = 63 – 15
y = 16.

So, x = 9 and y = 16.

Rough Workspace

Example #2

9x + 3y = 6 …….. equation (i)
6x + 2y = 5 …….. equation (ii)

Find the value of x and y.

1. x = 1 and y = -1
2. x = 2 and y = -2
3. x = 3 and y = -3
4. x = 4 and y = -4

Show Answer Show How to Solve Open Rough Workspace

How to Solve
At first we multiply the first equation by 2 and second equation by 3.
18x + 6y = 18 ……. equation (i) ( Multiply by 2 )
15x + 6y = 15 ……. equation (ii) ( Multiply by 3 )
…………………………………………………………………..
3x = 3
x = 1.

We apply value of x in any equation to obtain y value.
We apply in equation (ii).
6 x 1 + 2y = 5
6 + 2y = 1
y = -1.

So, x = 1 and y = -1.

Rough Workspace

### Few examples of Inequality with Shortcut Tricks

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1. Jacobjijo says:

Nice

2. Its Me says:

In example 1 you have transferred value 63 as 65, of course it is leading to some bizzare results.

In example 2 equation 2 you have 6x in question and 5x in solution which will mislead to non-competant people.

And even you haven’t shown sign changing (-) when getting the value of x. New people will totally confuse with this info. Please clear the errors and needy people will understand it better.