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2 equations, 2 unknowns

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by el_torero » Tue Mar 30, 2010 6:50 pm
i have a question that reduces to the following:

22S + 16B = 650
8S + 32B = 760

what is S - B?



of course, one way is to do substitution, etc. however, does anyone have a really smooth way to do this?
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Source: — Problem Solving |

by thephoenix » Tue Mar 30, 2010 7:14 pm
el_torero wrote:i have a question that reduces to the following:

22S + 16B = 650
8S + 32B = 760

what is S - B?



of course, one way is to do substitution, etc. however, does anyone have a really smooth way to do this?
simplify the eqn to lowest term and then solve it
22s+16b=650----->11s+8b=325...........1
8s+32b=760------->s+4b=95------->11s+44b=1045...............2
sub 1 from 2
36b=720------->b=20------->s=15-------->s-b=-5
b=
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by el_torero » Tue Mar 30, 2010 7:26 pm
thanks for the reply!
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