According to projections through the year 2030, the population y of the given state in year x is approximated by State A: - 4x + y = 11,400 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
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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
State A:
- 4x + y = 11,400
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
Transcribed Image Text:According to projections through the year 2030, the population y of the given state in year x is approximated by State A: - 4x + y = 11,400 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
Expert Solution
Step 1: Given.

Given: The population y of state A in year x is given by, -4x+y=11400 and the population y of state B in year x is given by, -141x+y=7000.

To find: The year in which both populations are same.

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