Mathematics
Grade9
Easy

Question

Solve the proportion fraction numerator 1 over denominator left parenthesis y plus 1 right parenthesis end fraction equals fraction numerator 4 over denominator 3 y end fraction

  1. y=-4
  2. y=4
  3. y=2
  4. y=-2

hintHint:

For every proportion, the product of the extremes is always equal to the product of the means, i.e., a : b : : c : d if and only if ad = bc.
For example; in proportion 3 : 4 : : 9 : 12;
Product of extremes = 3 × 12 = 36 and product of means = 4 × 9 = 36

The correct answer is: y=-4


    fraction numerator 1 over denominator left parenthesis y plus 1 right parenthesis end fraction equals fraction numerator 4 over denominator 3 y end fraction 
    For every proportion, the product of the extremes is always equal to the product of the means, i.e., a : b : : c : d if and only if ad = bc.
    Product of extremes = product of means
    ad = bc
    1 space cross times space 3 y space equals space 4 space cross times left parenthesis y space plus space 1 right parenthesis
3 y space equals space 4 y space plus space 4
y space equals negative space 4
    Thus, y = -4

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