3x + 2y = 9 x - y =8

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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### Example Problem

**2.** Solve the system of equations:

\[ 3x + 2y = 9 \]

\[ x - y = 8 \]

**Graph/Diagram Explanation:**

This system of linear equations can be represented graphically as two lines in a coordinate plane. Each equation corresponds to a line, and the solution to the system is the point where the two lines intersect. Solving the equations algebraically will provide the coordinates of this intersection point.
Transcribed Image Text:### Example Problem **2.** Solve the system of equations: \[ 3x + 2y = 9 \] \[ x - y = 8 \] **Graph/Diagram Explanation:** This system of linear equations can be represented graphically as two lines in a coordinate plane. Each equation corresponds to a line, and the solution to the system is the point where the two lines intersect. Solving the equations algebraically will provide the coordinates of this intersection point.
Expert Solution
Step 1: Given the information

The given system of linear equations,

table row cell 3 x plus 2 y end cell equals 9 row cell x minus y end cell equals 8 end table

The aim is to find the solution to the system of equations using the reduced row echelon form.

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