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Expert-verified Found in: Page 467 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # 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.$\left\{\begin{array}{l}y=6x-1\\ y=6x+4\end{array}\right\$

There is no solution of the given system of equations.

See the step by step solution

## Step 1. Write the given system of equations.

The given system of equations is:

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

## 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" $y=6x+4\phantom{\rule{0ex}{0ex}}6x-1=6x+4\phantom{\rule{0ex}{0ex}}6x-6x=4+1\phantom{\rule{0ex}{0ex}}0=5$

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. ### Want to see more solutions like these? 