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What are the restrictions for y for the following equation? X=10/5+y

2 Answers

7 votes

Final answer:

The restriction for y in the equation X = 10 / (5 + y) is that y cannot be -5. This is because division by zero is undefined, and when y is -5, it would make the denominator zero.

Step-by-step explanation:

The restrictions for y for the equation X = 10 / (5 + y) are based on the mathematical requirement that the denominator of a fraction cannot be zero, as division by zero is undefined. To find the restriction, we set the denominator equal to zero and solve for y:

5 + y = 0

y = -5

Therefore, the only restriction for y is that it cannot be -5, since that would make the denominator zero and the expression undefined. Any other real number value for y is acceptable.

User Lyana
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5 votes

Answer:

y = -5

Step-by-step explanation:

The restriction for the value of y is the value of the variable that will make the function undefined

The function is undefined when the denominator is zero i.e when 5 + y is zero

5+y = 0

y = 0-5

y = -5

Hence the restrictions is at when y = -5

User Colourtheweb
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5.3k points