Equation





Equations(eq) is one of the branch of Algebra

ax+b, or ax+by+c or ax+by+cz+d are called linear expression, where x,y and z are called variables, a, b, c and d are constants.

An eq is a condition on variable also it is an algebraic expression in which each term is a constant or with a product of a variable.

For example

2x + 5,4x - 3 are eq in one variable.

3x+4y+6 = 0 is in two variables.

Let us see some examples to understand this topic.

Question 1

Solve for x :     3x-6=0

Solution:

Here -6 is a constant added with 3x term.

To remove that constant let us add 6 on both sides.

3x-6+6 = 0+6 = 6

3x = 6

x = 6/3 =2

so x=2 is the solution.


Question 2

Solve: 2x-5=15

Solution:

Here we have -5 added to 2x term

2x-5 = 15

Adding 5 on both sides

2x-5+5 = 15+5

2x = 20

Dividing by 2

2x/2 = 20/2

X = 10


Question 3

Solve : 5x - 2 = 2x – 6

Solution:

To solve, let us subtract -2x on both sides

5x-2x - 2 = -6

3x - 2 = -6

Adding 2 on both the sides

3x - 2 + 2 = -6 + 2

3x = -4

3x = -4

Now we have to divide it by -4 on both sides.

So that we are getting x =-4/3

So x = -4/3 is the solution.


Question 4

Solve: 2x-5=15

Solution:

Here we have -5 added to 2x term

2x-5 = 15

Adding 5 on both sides

2x-5+5 = 15+5

2x = 20

Dividing by 2

2x/2 = 20/2

X = 10


Question 5

Solve: 5y + 3 = -8 + 3y

Solution:

Here we have to subtract by -3y on both sides

5y -3y + 3 = -8

2y + 3 = -8

Now we have to subtract by -3 on both sides 

2y + 3 -3 = -8 -3

2y = -11

Dividing by 2

2y/2 = 11/2

y = 11/2

There fore 11/2 is the solution for this variable y.



Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”

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