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Q9.

Expert-verified

Algebra 1

Found in: Page 467

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
What is the solution to the following system of equations? Show your work.
$\{\begin{cases} y = 6 x - 1 \\ y = 6 x + 4 \end{cases}$

There is no solution of the given system of equations.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write the given system of equations.

The given system of equations is:

$\begin{array}{l} y = 6 x - 1 (1) \\ y = 6 x + 4 (2) \end{array}$

Step 2. Solve the given system of equations.

Substitute the value of $y$ from the equation (1) in the equation (2).

role="math" localid="1647700174816" $y = 6 x + 4 6 x - 1 = 6 x + 4 6 x - 6 x = 4 + 1 0 = 5$

The condition obtained is $0 = 5$ which is false. Therefore, the given system of equations has no solution.

Therefore, there is no solution of the given system of equations.

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