Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.4: Determining The Equation Of A Line
Problem 82PS
Related questions
Question
Find the ordered pair
![### Solving Linear Equations on the Cartesian Coordinate System
---
**Equation:**
\[ 5x + 5y = 15 \]
---
**Problem:**
Find the y-coordinate in the ordered pair \((-2, ?)\) so that it will satisfy the given equation.
---
**Solution Box:**
\((-2, \_\_\_)\)
---
### Instructions:
To solve for \( y \) in the equation \( 5x + 5y = 15 \) with the given \( x \)-coordinate of \(-2\), substitute \(-2\) for \( x \) in the equation and solve for \( y \).
### Step-by-Step Solution:
1. Substitute \(-2\) for \( x \) in the equation:
\[ 5(-2) + 5y = 15 \]
2. Simplify:
\[ -10 + 5y = 15 \]
3. Add 10 to both sides:
\[ 5y = 25 \]
4. Divide both sides by 5:
\[ y = 5 \]
Therefore, the complete ordered pair is \((-2, 5)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17c0ca6c-088a-46fe-8433-3c5bbdfc8e71%2Fb8feb0c4-be90-4fe8-aaac-96a1e2381bb6%2Faq8db4c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Linear Equations on the Cartesian Coordinate System
---
**Equation:**
\[ 5x + 5y = 15 \]
---
**Problem:**
Find the y-coordinate in the ordered pair \((-2, ?)\) so that it will satisfy the given equation.
---
**Solution Box:**
\((-2, \_\_\_)\)
---
### Instructions:
To solve for \( y \) in the equation \( 5x + 5y = 15 \) with the given \( x \)-coordinate of \(-2\), substitute \(-2\) for \( x \) in the equation and solve for \( y \).
### Step-by-Step Solution:
1. Substitute \(-2\) for \( x \) in the equation:
\[ 5(-2) + 5y = 15 \]
2. Simplify:
\[ -10 + 5y = 15 \]
3. Add 10 to both sides:
\[ 5y = 25 \]
4. Divide both sides by 5:
\[ y = 5 \]
Therefore, the complete ordered pair is \((-2, 5)\).
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