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Expert-verified Found in: Page 133 ### Pre-algebra

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

$\begin{array}{l}5z+2=5z\text{[The original equation.]}\\ 5z+2-5z=5z-5z\text{[Subtract 5}z\text{from each side.]}\\ 2=0\text{[Simplify.]}\end{array}$

The statement $2=0$ is false, so the equation has no solution. ### Want to see more solutions like these? 