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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Transcribed Image Text:**Question 40**
Is (-3, 5) a solution to the following system:
1. \(9x + 7y = 8\)
2. \(8x - 9y = -69\)
Options:
- No
- Yes
This question asks whether the point \((-3, 5)\) satisfies both equations listed in the system. To determine if it is a solution, substitute \(x = -3\) and \(y = 5\) into both equations and check if both are true.
**Equation Verification:**
1. **First Equation:** \(9(-3) + 7(5) = -27 + 35 = 8\) ✔️
2. **Second Equation:** \(8(-3) - 9(5) = -24 - 45 = -69\) ✔️
Since both equations hold true with the substitutions, the point \((-3, 5)\) is indeed a solution to the system. Therefore, the correct answer is:
- Yes
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