In 2004, the average of the per capita (per person) incomes for Massachusetts and Maine ...

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In 2004, the average of the per capita (per person) incomes for Massachusetts and Maine was $36,500. The per capita income in Massachusetts exceeded the per capita income in Maine by $11,000
A-) Set up a system of equations whose solution gives the per capita income in each state. Identify what each variable represents.
B-) Use substitution to solve this system. Interpret the result.
C-) Use elimination to solve this system.
D-) Solve this system graphically, Do all the answers agree?

    • 8 years ago
    (A) Let the per capita income for Massachusetts be x and that for Maine be y By data, we know that (x + y)/2 = 36500  x + y = 73000 --- (1) and x = y + 11000 --- (2) ...
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