SOLUTION: Let a, b, c and d be positive. Prove the following properties of the proportion a/b=c/d. ( Hint: For exercises 13-16, multiply both sides of a/b=c/d by an expression that will prod

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let a, b, c and d be positive. Prove the following properties of the proportion a/b=c/d. ( Hint: For exercises 13-16, multiply both sides of a/b=c/d by an expression that will prod      Log On


   

Question 190034This question is from textbook algebra and trigonometry structure and method book 2
: Let a, b, c and d be positive. Prove the following properties of the proportion a/b=c/d. ( Hint: For exercises 13-16, multiply both sides of a/b=c/d by an expression that will produce the given equation.)
d/b=c/a
please explain and thank you so much. This question is from textbook algebra and trigonometry structure and method book 2

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let a, b, c and d be positive. Prove the following properties of the proportion a/b=c/d. ( Hint: For exercises 13-16, multiply both sides of a/b=c/d by an expression that will produce the given equation.)
d/b=c/a
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a/b = c/d
Multiply both sides by (d/a), as follows:
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(d/a)(a/b) = (c/d)(d/a)
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Cancel any factor common to a numerator and a denominator to get:
d/b = c/a
================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
So you're trying to get d%2Fb=c%2Fa from a%2Fb=c%2Fd???


a%2Fb=c%2Fd Start with the given equation


d%28a%2Fb%29=cross%28d%29%28c%2Fcross%28d%29%29 Multiply both sides by "d"


%28ad%29%2Fb=c Simplify


%28cross%28a%29%2Ad%29%2F%28cross%28a%29%2Ab%29=c%2Fa Divide both sides by "a"


d%2Fb=c%2Fa Simplify