High School

Find the x- and y-intercepts of \(-\frac{3}{5}(x) + \frac{5}{7}(y) = 15\).

A) x-intercept: 7, y-intercept: -15
B) x-intercept: 15, y-intercept: -7
C) x-intercept: -7, y-intercept: 15
D) x-intercept: -15, y-intercept: 7

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:

https://brainly.com/question/12791065

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