2x + 7y For the system 4x + 14y order for there to be many solutions? n must be Choose one AI * # V VI II V = 10 = n what must be true about n in

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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For the system:

\[
\begin{cases}
2x + 7y = 10 \\
4x + 14y = n
\end{cases}
\]

What must be true about \( n \) in order for there to be many solutions?

**n must be:**

- Choose one:
  - \(\geq\)
  - \(\neq\)
  - \(<\)
  - \(\leq\)
  - \(=\)
  - \(>\)
Transcribed Image Text:For the system: \[ \begin{cases} 2x + 7y = 10 \\ 4x + 14y = n \end{cases} \] What must be true about \( n \) in order for there to be many solutions? **n must be:** - Choose one: - \(\geq\) - \(\neq\) - \(<\) - \(\leq\) - \(=\) - \(>\)
For the system 

\[
\begin{cases} 
2x + 7y = 10 \\ 
4x + 14y = n 
\end{cases}
\]

what must be true about \( n \) in order for there to be many solutions?

\( n \) must be \(\leq\) [ ]
Transcribed Image Text:For the system \[ \begin{cases} 2x + 7y = 10 \\ 4x + 14y = n \end{cases} \] what must be true about \( n \) in order for there to be many solutions? \( n \) must be \(\leq\) [ ]
Expert Solution
Step 1: given

we are given two equations and we need to find out the value of n in order for the system of equations to have infinite many solutions.

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