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a,b,and care real numbers such that ab=44,bc=112 and a+c=13.What is the value of b?

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Algebra 1 Answers
a,b,and care real numbers such that ab=44,bc=112...

To b or not to b

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asked Nov 10, 2013 in Algebra 1 Answers by anonymous

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1 Answer

ab=44 --------- (1)

bc=112 --------- (2)

a+c=13 --------- (3)

from (3), a = 13 - c.

from (2), b = 112/c.

Substitute for a and b into (1), giving

(13 - c)*(112/c) = 44 multiply both sides by c.

112(13 - c) = 44c

1456 - 112c = 44c

156c = 1456

c = 9 1/3 = 28/3

b = 112/c = 112*3/28 = 12

a = 13 - c = 3 2/3 = 11/3

Answers: a = 11/3, b = 12, c = 28/3

answered Nov 10, 2013 by Fermat Level 11 User (81.5k points)

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