Multiplication and division equations are the equations which contain multiplication or division.

For example,

7x = 56

y/3 = 4

Let us see, how to solve equations which contain multiplication or division.

**Example 1 :**

Solve for x : 8x = 56

**Solution :**

8x = 56

Since we are trying to solve for "x", we have to get rid of 8 which is multiplied by "x".

To get rid of 8, we have to divide by 8 on both sides.

8x / 8 = 56/8

x = 7

Hence, the value of "x" is 7.

**Example 2 :**

Solve for y : y / 4 = 7

**Solution :**

y / 4 = 7

Since we are trying to solve for "y", we have to get rid of 4 which divides y in the above equation.

To get rid of 4, we have to multiply by 4 on both sides.

(y / 4) x 4 = 7 x 4

y = 28

Hence, the value of "y" is 28.

**Example 3 :**

When 7 is multiplied by a number, we get 42. Find the number.

**Solution : **

Let "x' be the required number.

According to the question, we have

7x = 42

Here, 7 is multiplied by x. To get rid of 7, we have to divide by 7 on both sides and solve the equation as explained below. .

7x / 7 = 42/7

x = 6

Hence, the value of "x" is 6.

**Example 4 :**

John had some candies. He shared the candies equally to his 3 kids. If each kid had received 7 candies, how many candies did John have ?

**Solution : **

Let "m' be the no. of candies that John initially .

According to the question, we have

m/3 = 7

Here 3 divides m. To get rid of 3, we have to multiply by 3 on both sides and solve the equation as explained below.

(m/3) x 3 = 7 x 3

m = 21

Hence, John initially had 21 candies.

**Example 5 :**

The product of two numbers is 20. If one number is 8, find the other number.

**Solution : **

Let "x' be the other number.

According to the question, we have

8x = 20

Here, 8 is multiplied by x. To get rid of 8, we have to divide by 8 on both sides and solve the equation as explained below. .

8x / 8 = 20/8

x = 2.5

Hence, the other number is 2.5.

After having gone through the stuff given above, we hope that the students would have understood "Multiplication and division equations".

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