Question 65961: The directions are use the substitution method to solve the Linear system.
The Problem is: One share of stock A is worth 3 1/2 shares of stock B. If the total value of the stock is $9,000, how much was invested in each company? The equations that I have come up wich are A=3 1/2B and A+B=9,000 i don't know what to do next or if my equations are right. If you have the time please help me figure this problem out. I've worked on it for days and i just can't get it. Thanks.
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website!
You are right on target on this one!!!!!! Good work!!!!!You have gotten past the hard part. All that's left to do is solve:
(1) A+B=9000
(2)A=(3.5)B
Substitute (2) in (1) and we have:
(3.5)B+B=9000
(4.5)B=9000
B=$2000 Total value of Stock B
Substitute B=$2000 in (1):
A=9000-2000=$7000 Total value of stock A
ck
7000=(3.5)2000
and
7000+2000=9000
Hope this helps----ptaylor
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