/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.112 Solve: 0.65k - 0.1= 0.4k -0... [FREE SOLUTION] | 91Ó°ÊÓ

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Solve:0.65k-0.1=0.4k-0.35

Short Answer

Expert verified

Thesolutionforthegivenequationisk=−1

Step by step solution

01

Step 1. Given information

The given equation is0.65k-0.1=0.4k-0.35

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.65k-0.1=0.4k-0.35⇒100×(0.65k-0.1)=100×(0.4k-0.35)(MultiplybothsideswiththeLCD,100)⇒100×(0.65k)-100×(0.1)=100×(0.4k)-100×(0.35)(Distribute)⇒65k-10=40k-35(Multiply)⇒65k−40k-10=40k−40k-35(Subtract40kfrombothsides)⇒25k-10=-35(Simplify)⇒25k-10+10=-35+10(Add10tobothsides)⇒25k=-25(Simplify)⇒25k25=-2525(Dividebothsidesby25)⇒k=−1(Simplify)Thesolutionforthegivenequationisk=−1

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