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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---
**Exercise 3:**
Explain or show that the point (5, -4) is a solution to this system of equations:
\[
\begin{align*}
3x - 2y & = 23 \\
2x + y & = 6
\end{align*}
\]
**Exercise 4:**
Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34."
a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.
b. Diego then says, "If we take half of the first number and double the second, the sum is 14."
Write an equation that could represent this description.
c. What are Diego’s two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.
**Graph Description:**
The graph is a coordinate plane with labeled axes. The x-axis is labeled "first number" with a range from 0 to 20. The y-axis is labeled "second number" with a range from 0 to 20. It provides a visual aid to help determine Diego's two numbers.
**Footnote:**
Page 240
Student Workbook
**Exercise 5 and 6:**
[Text not visible]
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Transcribed Image Text:Sure! Here's a transcription suitable for an educational website:
---
**Exercise 3:**
Explain or show that the point (5, -4) is a solution to this system of equations:
\[
\begin{align*}
3x - 2y & = 23 \\
2x + y & = 6
\end{align*}
\]
**Exercise 4:**
Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34."
a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.
b. Diego then says, "If we take half of the first number and double the second, the sum is 14."
Write an equation that could represent this description.
c. What are Diego’s two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.
**Graph Description:**
The graph is a coordinate plane with labeled axes. The x-axis is labeled "first number" with a range from 0 to 20. The y-axis is labeled "second number" with a range from 0 to 20. It provides a visual aid to help determine Diego's two numbers.
**Footnote:**
Page 240
Student Workbook
**Exercise 5 and 6:**
[Text not visible]
---
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