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91Ó°ÊÓ

In the following exercise, solve each equation with fraction coefficients.

c15+1=c10−1

Short Answer

Expert verified

Thesolutionforthegivenequationisc=60

Step by step solution

01

Step 1. Given information

The given equation isc15+1=c10−1

We have to solve the given equation.

02

Step 2. Explanation

Solve:c15+1=c10−1MultiplybytheLCD,30⇒30×(c15+1)=30×(c10−1)⇒30×c15+30×1=30×c10−30×1(Distribute)⇒2c+30=3c−30(Simplify)⇒2c−3c+30=3c−3c−30(Subtract3cformboththesides)⇒−c+30=−30(Simplify)⇒−c+30−30=−30−30(Subtract30frombothsides)⇒−c=−60(Simplify)⇒−c−1=−60−1(Dividebothsideby-1)⇒c=60(Simplify)Thesolutionforthegivenequationisc=60

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