5x + 5y = 15 ordinate in the ordered pair (-2, ?) so that it will satisfy the given equation. w window) (-2,

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
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Find the ordered pair
### Solving Linear Equations on the Cartesian Coordinate System

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**Equation:**

\[ 5x + 5y = 15 \]

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**Problem:**

Find the y-coordinate in the ordered pair \((-2, ?)\) so that it will satisfy the given equation.

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**Solution Box:**

\((-2, \_\_\_)\)

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### 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 \((-2, 5)\).
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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