SOLUTION: for the following questions assign a variable to each unknown quanity. then translate the problem into a system of linear equations that could be used to determine each unknown. Do

Algebra ->  Linear-equations -> SOLUTION: for the following questions assign a variable to each unknown quanity. then translate the problem into a system of linear equations that could be used to determine each unknown. Do      Log On


   



Question 1151479: for the following questions assign a variable to each unknown quanity. then translate the problem into a system of linear equations that could be used to determine each unknown. Do not solve system
a) 3 footballs and one soccer ball costs $155. Two footballs and 3 soccer balls costs $220. determine cost of 1 football and one soccerball/

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the cost of 1 football
Let +b+ = the cost of 1 soccer ball
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(1) +3a+%2B+b+=+155+
(2) +2a+%2B+3b+=+220+
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Multiply both sides of (1) by 3+ and
subtract (2) from (1)
(1) +9a+%2B+3b+=+465+
(2) +-2a+-+3b+=+-220+
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+7a+=+245+
+a+=+35+
and
(1) +3%2A35+%2B+b+=+155+
(1) +105+%2B+b+=+155+
(1) +b+=+50+
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1 football costs $35
1 soccer ball costs $50
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check:
(1) +3a+%2B+b+=+155+
(1) +3%2A35+%2B+50+=+155+
You can finish for (1) and (2)