cloudy System B -4x+y=-4 4x-y-4=0 Explanation O The system has no solution. O The system has a unique solution: (x, y) = ( O The system has infinitely many solutions. They must satisfy the following equation: y= OLDU Check Ⓒ2022 McGra

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### System of Linear Equations

**System B:**
\[
\begin{cases}
-4x + y = -4 \\
4x - y - 4 = 0
\end{cases}
\]

**Options:**

- ☐ The system has no solution.
- ☐ The system has a unique solution:
  \[
  (x, y) = \left( \text{[ ]}, \text{[ ]} \right)
  \]
- ☐ The system has infinitely many solutions. They must satisfy the following equation:
  \[
  y = \text{[ ]}
  \]

**Explanation and Check:**
At the bottom, there are buttons labeled "Explanation" and "Check" for further assistance in solving or verifying the solution to the system of equations.

**Note:**
The prompt is asking to determine the nature of the solution(s) for the given system of linear equations. The possible scenarios include no solution (parallel lines), a unique solution (intersecting lines), or infinitely many solutions (coincident lines).
Transcribed Image Text:### System of Linear Equations **System B:** \[ \begin{cases} -4x + y = -4 \\ 4x - y - 4 = 0 \end{cases} \] **Options:** - ☐ The system has no solution. - ☐ The system has a unique solution: \[ (x, y) = \left( \text{[ ]}, \text{[ ]} \right) \] - ☐ The system has infinitely many solutions. They must satisfy the following equation: \[ y = \text{[ ]} \] **Explanation and Check:** At the bottom, there are buttons labeled "Explanation" and "Check" for further assistance in solving or verifying the solution to the system of equations. **Note:** The prompt is asking to determine the nature of the solution(s) for the given system of linear equations. The possible scenarios include no solution (parallel lines), a unique solution (intersecting lines), or infinitely many solutions (coincident lines).
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