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If y=-5, what is the value of (4(y+7))/(7-y)? If the answer is not an integer, enter it as a fraction.

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Final answer:

To find the value of (4(y+7))/(7-y) when y = -5, substitute -5 for y in the expression. Evaluate the numerator and denominator separately and then divide.

Step-by-step explanation:

To find the value of (4(y+7))/(7-y) when y = -5, we substitute -5 for y in the expression.

(4(y+7))/(7-y) = (4(-5+7))/(7-(-5))

The student is asked to evaluate a mathematical expression, specifically a fraction. The expression is (4(y+7))/(7-y). The student is also informed that y = -5.

To begin with, we substitute -5 for y in the expression: (4(-5+7))/(7-(-5)) which simplifies to (4(2))/((7+5)). So, it turns into (8/12), which can further be simplified to 2/3. The value of this expression when y=-5 is 2/3.

First, we evaluate the numerator: (4(-5+7)) = (4(2)) = 8

Next, we evaluate the denominator: (7-(-5)) = (7+5) = 12

Finally, we divide the numerator by the denominator: 8/12 = 2/3

Therefore, when y = -5, the value of (4(y+7))/(7-y) is 2/3.

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