Question

What is the anwser to
-3 = 2 + a / 11

Answer 1

>>> a = -55

Explanation:

Given Equation ,

• 
  `\sf{ - 3 = 2 + (a)/(11) }`

We have to find ,

• Value of a

Solution :

`\dashrightarrow \: \: \: \sf{ - 3 = 2 + (a)/(11) }`

or , we can write it as :

`\dashrightarrow \: \: \: \sf{2 + (a)/(11) = - 3 }`

Step 1 : Subtracting 2 on both sides :

`\dashrightarrow \: \: \: \sf{ \cancel{2} + (a)/(11) - \cancel{2} = - 3 - 2 }`

We get ,

`\dashrightarrow \: \: \: \sf{ (a)/(11) = - 5 }`

Step 2 : Multiplying both sides with 11 :

`\dashrightarrow \: \: \: \sf{ \frac{a}{ \cancel{11}} * \cancel{11} = - 5 * 11 }`

We have ,

`\dashrightarrow \: \: \: \underline{ \boxed{ \sf{ \bold{a = - 55}}}} \: \: \: \bigstar`

• Therefore, value of a is "-55".

Verification :-

For verifying our answer we have to substitute value of a in given equation and after solving it if Left side is equal to Right side then we can say that our answer is correct.

`\longmapsto \: \: \: \sf{ - 3 = 2 + (a )/(11) }`

Substituting value of a as -55 :

`\longmapsto \: \: \: \sf{ - 3 = 2 + \cancel{ ( - 55 )/( \: \: \: 11) }}`

`\longmapsto \: \: \: \sf{ - 3 = 2 - 5 }`

`\longmapsto \: \: \: \sf{ - 3 = 2 - 3 }`

`\longmapsto \: \: \: \sf{ LHS = RHS }`

`\longmapsto \: \: \: \sf{Hence , Verified }`

• Therefore, answer is correct.

Hope, it'll help you!! :)

Answer 2

a = -55

Explanation:

We're asked to solve the following equation:

`\sf{-3=2+\cfrac{a}{11}}`

Begin by subtracting 2 from both sides:

`\sf{-3-2=\cfrac{a}{11}}`

`\sf{-5=\cfrac{a}{11}}`

Next, multiply both sides by 11:

`\sf{-5*11=a}`

`\sf{-55=a}`

Therefore, a = -55.