Solving Math Eqations

Introduction to Math equations:

In math, Equation is a condition on a variable. Here the condition is meant that two expressions should have equal value. In an equation, we note that at least one of the two expressions must contain the variable.

There is always an equality sign in an equation in math. That is the equality sign looks that the value of the expression to the left of the sign must equal to the value of the expression to the right of the sign. Only equality sign is used in an equation.

Here the equation remains the same, if the expression on the left side and on the right side is interchanged.

Let us solve problems on math equations. Please express your views of this topic Tangent Line Equation by commenting on blog.


Solving Example Problems on Math equations:


Problem 1:

Solve x in this math equation:  x – 7 = 14

Solution:

The given equation is x – 7 = 14.

Solving x,

Add 7 to each side in the equation.

x – 7 + 7 = 14 + 7

x  = 21.

To check:

x – 7 = 14

21 – 7 = 14

14 = 14 .

Problem 2:

Solve x in this math equation:  3m + 7 = 1

Solution:

The given equation is 3m + 7 = 1.

Solving m,

Subtract from 7 to each side in the equation.

3m + 7 - 7 = 1 – 7

3m = - 6

Divide by 3 to each side.

`(3m)/3` = `-6/3`

m  = - 2.

To check:

3m + 7 = 1

3(-2) + 7 = 1

-6 + 7 = 1

1 = 1 .

Problem 3:

Solve the math equation : 5r = 20

Solution:

The given equation is 5r = 20

Solving r,

Divide by 5 to each side.

`(5r)/5` = `20/5`

r = 4.

To check:

5r = 20

5*4 = 20

20 = 20.

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Example word problem on math equations:


Problem 4:

Peter’s father’s age is 5 years more than three times Peter’s age. Peter’s father is 44 years old. Find the math equation to find Peter’s age?

Solution:

We do not know Peter’s age. So let us take peter’s age is A years.

Three times Peter’s age is 3A years.

Peter’s father’s age is 5 years more than 3A. that is Peter’s father is 3A + 5 years old.

Peter’s father age is 44 years old.

Therefore,

The equation is 3A + 5 = 44

Solving A,

Now subtract 5 from each side.

3A + 5 – 5 = 44 – 5

3A = 39

Divide by 3 to each side.

`(3A)/3` = `39/3`

A = 13.

So Peter’s age is 13 years old.