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Chapter 3: Q. 14 (page 122)

Solve the equation. Check your solution.

12=a36+17

Short Answer

Expert verified

The solution for the equation12=a36+17isa=-180.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

12=a36+1712−17=a36−5=a36

02

.  Solve for a

Now, multiply both sides of the equation by 36.

−5×36=a36×36−180=aa=−180

Therefore, the solution of the equation is a=-180.

03

.  Check the solution 

To check the solution, write the original equation and substitute the value ofa.

12=a36+17

Now, substitutea=-180and check the result.

12=−18036+1712=−5+1712=12

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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