Find the x- and y-intercepts of the graph of 7, x, minus, 5, y, equals, 357x−5y=35. State each answer as an integer or an improper fraction in simplest form.
To find the x-intercept, we set y = 0 and solve for x:
357x - 5(0) = 35
357x = 35
x = 35/357 = 5/51
Therefore, the x-intercept is (5/51, 0).
To find the y-intercept, we set x = 0 and solve for y:
357(0) - 5y = 35
-5y = 35
y = -35/5 = -7
Therefore, the y-intercept is (0, -7).