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Chapter 3: Q. 4E (page 133)

Solve the equation. Check your solution.

19c+26=41+14c

Short Answer

Expert verified

The solution for the equation19c+26=41+14cisc=3.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

19c+26=41+14c19c+26−19c=41+14c−19c[Substract19cfromeachside.]26=41−5c[Simplify.]26−41=41−5c−41[Subtract41fromeachside.]−15=−5c[Simplify.]

02

– Solve for c

Now, divide both sides of the equation by 5.

−155=−5c5c=3

Therefore, the solution of the equation is c=3

03

– Check the solution 

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

19c+26=41+14c

Now, substitute c=3and check the result.

19(3)+26=41+14(3)57+26=41+4283=83

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

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