Formulate a system of equations for the situation below and solve. Michael Perez has a total of $2600 on deposit with two savings institutions. One pays interest at the rate of 6%/year, whereas the other pays interest at the rate of 8%/year. If Michael earned a total of $182 in interest during a single year, how much does he have on deposit in each institution?   at 6%/year  $ ___________ at 8%/year  $ ___________

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Formulate a system of equations for the situation below and solve.

Michael Perez has a total of $2600 on deposit with two savings institutions. One pays interest at the rate of 6%/year, whereas the other pays interest at the rate of 8%/year. If Michael earned a total of $182 in interest during a single year, how much does he have on deposit in each institution?
 
at 6%/year  $ ___________
at 8%/year  $ ___________
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