One variable linear equations

One variable linear equations shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know time management then everything will be easier for you. Most of us miss this thing. Few examples on one variable linear equations shortcuts is given in this page below. These shortcut tricks cover all sorts of tricks on One variable linear equations. Visitors are requested to carefully read all shortcut examples. These examples here will help you to better understand shortcut tricks on one variable linear equations.

Before doing anything we recommend you to do a math practice set. 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. After solving all ten math questions write down total time taken by you to solve those questions. Now go through our page for one variable linear equations shortcut trick. After finishing this do remaining questions using One variable linear equations shortcut tricks. Again keep track of the time. The timing will be surely improved this time. But this is not all you need. If you need to improve your timing more then you need to practice more.

You all know that math portion is very much important in competitive exams. It doesn’t mean that other topics are not so 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 you can do this only by using shortcut tricks. Again it does not mean that you can’t do maths without using shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many people can’t do this. For those we prepared this one variable linear equations shortcut tricks. Here in this page we try to put all types of shortcut tricks on One variable linear equations. But it possible we miss any. We appreciate if you share that with us. Your help will help others.

One variable 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: 4x2 + 7y + 3z = 0 here is 4 , 7 , 3  are constant value. and x is the unknown variable.


Solve of one linear equation:

Example 1: 4x + 7 = 24

4x = 24 – 7
4x = 17
x = 17 / 4.

 

 

Example 2: 9y + 15 = 35

9y = 35 – 15
9y = 20
y = 20 / 9 .

 

 

Solve of more than one variable linear equation:

Example 3:
4x + 3y = 15……. Equation 1
4x + 5y = 17……. Equation 2

Answer :
At first we multiply the equation by 5 & 3
4x + 3y = 15……. Equation 1 (Multiply by  5 )
4x + 5y = 17……. Equation 2 (Multiply by  3 )

20x + 15y = 75……. Equation 1 (Multiply by  5 )
12x + 15y = 51……. Equation 2 (Multiply by  3 )
(-)     (-)       (-)
…………………………………………………………………..
8x = 24 .
x = 3.

We apply value of x in any equation to obtain y value
we apply in equation 1
4 x 3 + 3y = 15
12 + 3y = 15
3y = 15 – 12
y = 1.
So, x = 3 and y = 1.

 

 

 

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