# Each pair of values is from direct variation, how do you find the missing value for (3,7) (8,y)?

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For direct variation, the ratio of the two values in each pair is constant. This means:

[ \frac{y_1}{x_1} = \frac{y_2}{x_2} ]

Given the pairs ((3, 7)) and ((8, y)), you can set up the equation:

[ \frac{7}{3} = \frac{y}{8} ]

To find the missing value (y), cross-multiply and solve for (y):

[ 7 \times 8 = 3 \times y ]

[ 56 = 3y ]

[ y = \frac{56}{3} ]

Therefore, the missing value (y) is (\frac{56}{3}).

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