SOLUTION: Find the value of x in each proportion. a) x + 1 over 3 equals 10 over x + 2 b) x - 2 over 5 equals 12 over x + 2

Algebra ->  Finance -> SOLUTION: Find the value of x in each proportion. a) x + 1 over 3 equals 10 over x + 2 b) x - 2 over 5 equals 12 over x + 2       Log On


   



Question 855349: Find the value of x in each proportion.
a) x + 1 over 3 equals 10 over x + 2
b) x - 2 over 5 equals 12 over x + 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of x in each proportion.
a) x + 1 over 3 equals 10 over x + 2
(x+1)/3 = 10/(x+2)
Cross-multiply to get:
x^2 + 3x + 2 = 30
x^2 + 3x - 28 = 0
(x+7)(x-4) = 0
x = -7 or x = 4
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b) x - 2 over 5 equals 12 over x + 2
(x-2)/5 = 12/(x+2)
x^2-4 = 60
x^2 = 64
x = 8 or x = -8
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Cheers,
Stan H.