Is (-3, 5) a solution to the following system: 9x +7y 8 8x-9y -69 %3D O No O Yes

Algebra and Trigonometry (6th Edition)
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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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**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
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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