SOLUTION: Need help please. a local computer outlet sells 3 compact and 2 dell computers for $1625, or 2 compact and 5 dell computers for $2000. what is the price of a single compact and a

Question 884612: Need help please.
a local computer outlet sells 3 compact and 2 dell computers for $1625, or 2 compact and 5 dell computers for $2000. what is the price of a single compact and a single dell computer?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The problem has given us two equations, let x be the cost of a compact computer and y be the cost of a DELL computer
3x +2y = 1625
2x +5y = 2000
solve second equation for x
2x = 2000 -5y
x = 1000 -2.5y
substitute for x in first equation
3*(1000 -2.5y) +2y = 1625
3000 -7.5y +2y = 1625
-5.5y = -1375
y = -1375/-5.5 = 250
substitute for y in second equation
2x + (5 * 250) = 2000
2x = 750
x = 375
cost of compact computer is $375
cost of DELL computer is $250

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