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Chapter 2: Q. 650 (page 299)

In the following exercises, solve each equation.

93u−2−46−8u−1=3u−2

Short Answer

Expert verified

Thesimplifiedvalueis⇒u=1.214

Step by step solution

01

Step 1. Given information

The given equation is 93u−2−46−8u−1=3u−2

We have to solve the given equation.

02

Step 2. Explanation

Solve:93u−2−46−8u−1=3u−2⇒9×3u−9×2−46−8×u+8×1=3×u−3×2(Distribute)⇒27u−18−46−8u+8=3u−6(Simplify)⇒27u−18−4−8u+14=3u−6(Simplifyliketerms)⇒27u−18−4×(−8u)−4×(14)=3u−6(Distribute)⇒27u−18+32u−56=3u−6⇒59u−74=3u−6⇒59u−3u−74=3u−6−3u(Subtract3ufrombothsides)⇒56u−74=−6(Simplify)⇒56u−74+74=−6+74(Add74tobothsides)⇒56u=68(Simplify)⇒56u56=6856(Dividebothsidesby56)⇒u=1.214(Simplify)Thesimplifiedvalueis⇒u=1.214

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