State A: - 6x + y = 11,600 State B: 141x+y=7,000 where x = 0 corresponds to the year 2000 and y is in thousands. In what year do the two states have the same population? The two states will have the same population in the year.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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According to projections through the year 2030, the population \( y \) of the given state in year \( x \) is approximated by:

\[
\text{State A:} \quad -6x + y = 11,600
\]

\[
\text{State B:} \quad -14x + y = 7,000
\]

where \( x = 0 \) corresponds to the year 2000 and \( y \) is in thousands. In what year do the two states have the same population?

The two states will have the same population in the year \(\_\_\_\).
Transcribed Image Text:According to projections through the year 2030, the population \( y \) of the given state in year \( x \) is approximated by: \[ \text{State A:} \quad -6x + y = 11,600 \] \[ \text{State B:} \quad -14x + y = 7,000 \] where \( x = 0 \) corresponds to the year 2000 and \( y \) is in thousands. In what year do the two states have the same population? The two states will have the same population in the year \(\_\_\_\).
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