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91Ó°ÊÓ

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

−58w=40

Short Answer

Expert verified

On solving, we getw=-64.

Step by step solution

01

Step 1. Given information

Thegivenequationis−58w=40.Wehavetosolvethegivenequationandthenverifytheresult.

02

Step 2. Simplify

Now,⇒−58w=40⇒−85×−58w=−85×40Multiplybothsidesbyreciprocalof−58⇒w=−8×8⇒w=−64

03

Step 3. Checking the result

Wehave,⇒−58w=40⇒−58−64=40Substitutew=−64⇒−58×−8×8=40⇒40=40L.H.S=R.H.SHenceverified.

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