Question

Six times a number is 14 less than the opposite of that number. What is the number?

Answer 1

Answer:

2

Step-by-step explanation:

6 x 2 = 12

12 is less than 14

Answer 2

Question :

• Six times a number is 14 less than the opposite of that number. What is the number?

Solution :

Let's assume the number as " x "

According to the question :

• Six times a number is 14 less than the opposite of that number.

We already assumed that the number is x. So, opposite of the number would be -x.

$\qquad \sf \: { \dashrightarrow 6x= - x-14}

$

Now, let's solve this equation :

$\qquad \sf \: { \dashrightarrow 6x + x= -14}

$

Combining the like terms :

$\qquad \sf \: { \dashrightarrow 7x = - 14}

$

Then divide both sides by 7 :

$\qquad \sf \: { \dashrightarrow \dfrac{7x}{7} = - \dfrac{14}{7} }

$

$\qquad \sf \therefore \: \bf{{ x= -2}}

$

Therefore, the required number is -2 .