## 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

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

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: