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.