Question

What is the solution to this two step problem 15− a/12 = 22

Answer 1

>>> a = -84

Explanation:

Given Equation ,

• 
  `\sf{15 - (a)/(12) = 22}`

We have to find ,

• Value of a

Solution :

`\longmapsto \: \: \: \sf{15 - (a)/(12) = 22}`

Step 1 : Subtracting 15 on both sides :

`\longmapsto \: \: \: \sf{ \cancel{15} - (a)/(12) - \cancel{15} = 22 - 15}`

We get ,

`\longmapsto \: \: \: \sf{ - (a)/(12) = 7}`

Step 2 : Multiplying both sides with -12 :

`\longmapsto \: \: \: \sf{- \frac{a}{ \cancel{12}} * ( - \cancel{12})= 7 * ( - 12)}`

We get ,

`\longmapsto \: \: \: \sf{ - a * - 1 = - 84}`

Simplifying ,

`\longmapsto \: \: \: \underline{ \boxed{ \sf{ \bold{a = - 84}}}} \: \: \: \bigstar`

• Therefore , value of a is "-264"

Verification:-

• 15 - a/12 = 22

• 15 - (-84)/12 = 22

• 15 - ( -7 ) = 22

• 22 = 22

• LHS = RHS

• Hence, Verified

Therefore , our answer is correct :)

Answer 2

15-a/12=22
Multiply both the left and right parts by 12
180-а=264
-a=84
a=-84
Answer is -84