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How do you solve #(r/3-3/8)/r=-3/4#?

Answer 1

Eva Adamson

#r = 9/26#

#((8r - 9)/24)/r = -3/4#

#(8r - 9)/(24r) = -3/4#

#4(8r - 9) = -3(24r)#

#32r - 36 = -72r#

#32r + 72r = 36#

#104r = 36#

#r = 36/104#

#r= 9/26#

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Answer 2

Julia Adams

To solve the equation (r/3 - 3/8)/r = -3/4, you can follow these steps:

Multiply both sides of the equation by r to eliminate the denominator: (r/3 - 3/8) = (-3/4) * r
Distribute the -3/4 to both terms on the right side: r/3 - 3/8 = -3/4 * r
Multiply both sides of the equation by the common denominator of 3, 4, and 8, which is 24, to clear the fractions: 8r - 9 = -18r
Combine like terms by adding 18r to both sides: 8r + 18r - 9 = 0
Simplify the equation: 26r - 9 = 0
Add 9 to both sides of the equation: 26r = 9
Divide both sides of the equation by 26 to solve for r: r = 9/26

Therefore, the solution to the equation (r/3 - 3/8)/r = -3/4 is r = 9/26.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.