Question

ind the integers which when multiplied by 3 and then divided by2

becomes (-18).​

Answer 1

Answer:

1. the equation is form 3x / 2 = - 18

Answer 2

Answer:

Given:-

Find the integer which when multiplied by 3 and then divided by 2 becomes ( - 18 ).

To Find:-

The integer.

Note:-

●》Here, we will first multiply the integer by 3 and for finding the integer, divided 2 will be transposed and then 3 multiple with integer will be transposed.

●》For finding variables, constant needs to transposed from its side to another and signs are also changed or not. For example - Multiple becomes Divisional ( signs are not changed ), Divisional becomes Multiple ( signs are not changed ).

●》Equation means both side calculations should be equal.

Solution:-

$\huge\red{Integer = ?, Let \ \ it \ \ be \ \ "x"}$

☆ According to note first point~

▪︎$( x × 3 ) ÷ 2 = - 18$

▪︎$3x ÷ 2 = - 18$

☆ According to note second point ( transposing )~

▪︎$3x = - 18 × 2$

▪︎$3x = - 36$

▪︎$x = - \ \frac{36}{3}$

☆ After doing calculations~

▪︎$x = - 12$

$\huge\pink{Integer = x => - 12}$

Checking:-

♤ Let's check accordingly to note third point~

• $( x × 3 ) ÷ 2 = - 18 \ \ ?$

• $( - 12 × 3 ) ÷ 2 = - 18 \ \ ?$

• $- 36 ÷ 2 = - 18 \ \ ?$

• $- 18 = - 18 \ \ ?$

♤ Yes!

Hence, Proved that Integer = x => - 12.

Answer:-

Hence, the integer = - 12.

:)