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Found in: Page 133


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Explain why the equation 5z + 2 = 5z has no solution.

The equation 5z+2=5z has no solution because if we cancel 5z from both sides then we get 2 = 0, which is not true.

See the step by step solution

Step by Step Solution

Step-1 – Given

The given equation is 5z+2=5z.

Step-2 – To determine

We have to find the reason why the equation 5z+2=5z has no solution.

Step-3 – Calculation

We try to solve the given equation for z, if possible

5z+2=5z [The original equation.]5z+25z=5z5z [Subtract 5z from each side.]2=0 [Simplify.]

The statement 2=0 is false, so the equation has no solution.

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