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values of the missing entries. Reduce all fractions to lowest terms. 4x - 2y = 16 ts an ordered pair. If multiple solutions exist, you only need to identify x y 0 0 3 5

values of the missing entries. Reduce all fractions to lowest terms. 4x - 2y = 16 ts an ordered pair. If multiple solutions exist, you only need to identify x y 0 0 3 5

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
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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### Educational Exercise: Solving for Ordered Pairs in the Cartesian Coordinate System **Objective:** Determine the values of the missing entries for the equation \(4x - 2y = 16\). Reduce all fractions to the lowest terms. **Instructions:** Each cell in the table represents an ordered pair. If multiple solutions exist, you only need to identify one. --- **Given Equation:** \[ 4x - 2y = 16 \] **Table for Ordered Pairs:** | | **x** | 0 | 3 | | |---|-------|---|---|---| | **y** | 0 | | | 5 | **Task:** 1. Find the missing \(x\) value when \(y = 0\). 2. Find the missing \(y\) value when \(x = 0\). 3. Find the missing \(y\) value when \(x = 3\). 4. Find the missing \(x\) value when \(y = 5\). **Instructions for Each Step:** - **For \(y = 0\):** Substitute \(y = 0\) into the equation and solve for \(x\). - **For \(x = 0\):** Substitute \(x = 0\) into the equation and solve for \(y\). - **For \(x = 3\):** Substitute \(x = 3\) into the equation and solve for \(y\). - **For \(y = 5\):** Substitute \(y = 5\) into the equation and solve for \(x\). Once the values are found, substitute back to check if they satisfy the equation, ensuring all fractions are simplified. ### Diagram Explanation: The table is used to illustrate various solutions of ordered pairs \((x, y)\) determined from the equation. Each cell needs a calculated value, fulfilling the conditions posed by the table structure. **Note:** This task enhances skills in algebraic manipulation and understanding the Cartesian coordinate system.
Transcribed Image Text:### Educational Exercise: Solving for Ordered Pairs in the Cartesian Coordinate System **Objective:** Determine the values of the missing entries for the equation \(4x - 2y = 16\). Reduce all fractions to the lowest terms. **Instructions:** Each cell in the table represents an ordered pair. If multiple solutions exist, you only need to identify one. --- **Given Equation:** \[ 4x - 2y = 16 \] **Table for Ordered Pairs:** | | **x** | 0 | 3 | | |---|-------|---|---|---| | **y** | 0 | | | 5 | **Task:** 1. Find the missing \(x\) value when \(y = 0\). 2. Find the missing \(y\) value when \(x = 0\). 3. Find the missing \(y\) value when \(x = 3\). 4. Find the missing \(x\) value when \(y = 5\). **Instructions for Each Step:** - **For \(y = 0\):** Substitute \(y = 0\) into the equation and solve for \(x\). - **For \(x = 0\):** Substitute \(x = 0\) into the equation and solve for \(y\). - **For \(x = 3\):** Substitute \(x = 3\) into the equation and solve for \(y\). - **For \(y = 5\):** Substitute \(y = 5\) into the equation and solve for \(x\). Once the values are found, substitute back to check if they satisfy the equation, ensuring all fractions are simplified. ### Diagram Explanation: The table is used to illustrate various solutions of ordered pairs \((x, y)\) determined from the equation. Each cell needs a calculated value, fulfilling the conditions posed by the table structure. **Note:** This task enhances skills in algebraic manipulation and understanding the Cartesian coordinate system.
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