This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
$$ \frac{x+y}{x-y} = \frac{x + 2x}{x - 2x} = \frac{3x}{-x} = -3 $$
The calculated value is $-3$. However, $-3$ is not among the given options. Option B is $3$. It is possible that the question intended to ask for $\frac{x+y}{y-x}$ or the absolute value of the expression. If the expression was $\frac{x+y}{y-x}$, the calculation would be:
$$ \frac{x+y}{y-x} = \frac{x + 2x}{2x - x} = \frac{3x}{x} = 3 $$
Given the instruction
x−yx+y=x−2xx+2x=−x3x=−3
The calculated value is −3. However, −3 is not among the given options. Option B is 3. It is possible that the question intended to ask for y−xx+y or the absolute value of the expression. If the expression was y−xx+y, the calculation would be:
y−xx+y=2x−xx+2x=x3x=3
Given the instruction
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