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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.

1118=−56q

Short Answer

Expert verified

On solving, we get-1115.

Step by step solution

01

Step 1. Given information

Thegivenequationis1118=−56q.Wehavetosolvethegivenequationandthenverifytheresult.

02

Step 2. Simplify

Now,⇒1118=−56q⇒−65×1118=−65×−56qMultiplybothsidesbyreciprocalof−56⇒−65×116×3=q⇒−1115=qor⇒q=−1115

03

Step 3. Checking the result

Wehave,⇒1118=−56q⇒1118=−56−1115Substituteq=−1115⇒1118=−56×−113×5⇒−1118=−1118L.H.S=R.H.SHenceverified.

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