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Answer :
Final answer:
The x-intercept occurs when y=0, resulting in x=-25. The y-intercept occurs when x=0, resulting in y=21. None of the provided options match these intercepts, suggesting a mistake in the question or answer choices.
Explanation:
To find the x-intercept and y-intercept of the equation -3/5(x) + 5/7(y) = 15, you set each variable to zero in turn.
For the x-intercept, set y=0:
- -3/5(x) + 5/7(0) = 15
- -3/5(x) = 15
- x = 15 / (-3/5)
- x = -25
For the y-intercept, set x=0:
- -3/5(0) + 5/7(y) = 15
- 5/7(y) = 15
- y = 15 / (5/7)
- y = 21
Thus, the correct answer is: x-intercept: -25, y-intercept: 21. However, this was not an option provided, indicating a possible mistake in the question or in the answer choices.
Learn more about x- and y-intercepts here:
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