O The system has no solution. -x + 2y = 6 The system has a unique solution: %3D x- 2y = 6 (-») - CD The system has infinitely many solutions They must satisfy the following equation >-0 The system has no solution. -x + 2y = 4 The system has a unique solution: X - 2y = -4 (x9) - CD The system has infinitely many solutions They must satisfy the following equation > - 0
O The system has no solution. -x + 2y = 6 The system has a unique solution: %3D x- 2y = 6 (-») - CD The system has infinitely many solutions They must satisfy the following equation >-0 The system has no solution. -x + 2y = 4 The system has a unique solution: X - 2y = -4 (x9) - CD The system has infinitely many solutions They must satisfy the following equation > - 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 29HP
Related questions
Question
![### Unproctored Placement Assessment
#### Problem Description
Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution.
#### System 1:
\[
- x + 2y = 6
\]
\[
x - 2y = 6
\]
Options:
- The system has no solution.
- The system has a unique solution: \((x, y) = \text{{input boxes}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \text{{input box}}\)
#### System 2:
\[
- x + 2y = 4
\]
\[
x - 2y = -4
\]
Options:
- The system has no solution.
- The system has a unique solution: \((x, y) = \text{{input boxes}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \text{{input box}}\)
---
To solve these systems, consider using methods such as substitution, elimination, or graphical analysis to determine the number of solutions and, if applicable, find the values of \(x\) and \(y\).
Buttons:
- **I Don’t Know**
- **Submit**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83e5af00-8cbc-41bd-9830-50059a1c4306%2Fd4557ed8-9393-4cc1-8df4-32d184cc4b0f%2F6aucwu_processed.png&w=3840&q=75)
Transcribed Image Text:### Unproctored Placement Assessment
#### Problem Description
Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution.
#### System 1:
\[
- x + 2y = 6
\]
\[
x - 2y = 6
\]
Options:
- The system has no solution.
- The system has a unique solution: \((x, y) = \text{{input boxes}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \text{{input box}}\)
#### System 2:
\[
- x + 2y = 4
\]
\[
x - 2y = -4
\]
Options:
- The system has no solution.
- The system has a unique solution: \((x, y) = \text{{input boxes}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \text{{input box}}\)
---
To solve these systems, consider using methods such as substitution, elimination, or graphical analysis to determine the number of solutions and, if applicable, find the values of \(x\) and \(y\).
Buttons:
- **I Don’t Know**
- **Submit**
![**Unproctored Placement Assessment**
**Time Remaining:** 23:12:35
**Question 7**
Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution.
---
1. **System of Equations:**
\(-x + 2y = 6\)
\(x - 2y = 6\)
**Options:**
- The system has no solution.
- The system has a unique solution: \((x,y) = \boxed{\phantom{00}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \boxed{\phantom{00}}\)
---
2. **System of Equations:**
\(-x + 2y = 4\)
\(x - 2y = -4\)
**Options:**
- The system has no solution.
- The system has a unique solution: \((x,y) = \boxed{\phantom{00}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \boxed{\phantom{00}}\)
---
**Controls:**
- [I Don't Know] [Submit]
© 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy | Accessibility](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83e5af00-8cbc-41bd-9830-50059a1c4306%2Fd4557ed8-9393-4cc1-8df4-32d184cc4b0f%2F9en7nw_processed.png&w=3840&q=75)
Transcribed Image Text:**Unproctored Placement Assessment**
**Time Remaining:** 23:12:35
**Question 7**
Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution.
---
1. **System of Equations:**
\(-x + 2y = 6\)
\(x - 2y = 6\)
**Options:**
- The system has no solution.
- The system has a unique solution: \((x,y) = \boxed{\phantom{00}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \boxed{\phantom{00}}\)
---
2. **System of Equations:**
\(-x + 2y = 4\)
\(x - 2y = -4\)
**Options:**
- The system has no solution.
- The system has a unique solution: \((x,y) = \boxed{\phantom{00}}\)
- The system has infinitely many solutions. They must satisfy the following equation: \(y = \boxed{\phantom{00}}\)
---
**Controls:**
- [I Don't Know] [Submit]
© 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy | Accessibility
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