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Q15.

Expert-verified

Pre-algebra

Found in: Page 410

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

Tell whether the ordered pair is a solution of the equation.
$3 x - 5 y = - 1; (9, 5)$

The ordered pair $(9, 5)$ is not a solution for the given equation.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given equation is $x - 2 y = 8$ .

Step 2. Calculation.

To check whether the ordered pair $(9, 5)$ is a solution for the given equation or not, we will substitute coordinates of point $(9, 5)$ in our given equation as shown below:

$\begin{matrix} 3 x - 5 y = - 1 (Given equation) \\ 3 (9) - 5 (5) = - 1 (Substituting x = 9 and y = 5) \\ 27 - 25 = - 1 \\ 2 = - 1 \end{matrix}$

Since both sides of equation are equal, therefore, the ordered pair $(9, 5)$ is a solution for the given equation.

Step 3. Conclusion.

The given point is not the solution of the given equation.

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