SOLUTION: A video game system and several games are sold for $540. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A video game system and several games are sold for $540. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.      Log On


   



Question 831719: A video game system and several games are sold for $540. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = cost of games
y = cost of console
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x + y = 540
x = 3y
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put the system of linear equations into standard form:
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x + y = 540
x - 3y = 0
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copy and paste the above linear system in standard form into this matrix-method solver:
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solution:
x = cost of games = $405
y = cost of console = $135
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