Short Answer

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

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

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Given

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

Step-2 – To determine

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

Step-3 – Calculation

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

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

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

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Pre-algebra

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Short Answer

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

Step by Step Solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Pre-algebra

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Short Answer

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

Step by Step Solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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