The problem asks us to find the values of the variables $m$ and $y$ in the given expressions that would make the expressions undefined. This usually happens when the denominator of a fraction is equal to zero.

AlgebraUndefined ExpressionsRational ExpressionsSolving Equations
2025/4/15

1. Problem Description

The problem asks us to find the values of the variables mm and yy in the given expressions that would make the expressions undefined. This usually happens when the denominator of a fraction is equal to zero.

2. Solution Steps

a. For the expression 1242m\frac{12}{4-2m}, the expression is undefined when the denominator 42m4-2m is equal to

0. $4 - 2m = 0$

2m=42m = 4
m=42m = \frac{4}{2}
m=2m = 2
Therefore, mm cannot be
2.
b. For the expression y5y+5\frac{y-5}{y+5}, the expression is undefined when the denominator y+5y+5 is equal to

0. $y+5 = 0$

y=5y = -5
Therefore, yy cannot be -
5.

3. Final Answer

a. mm cannot be

2. b. $y$ cannot be -5.

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