Find the x- and y-intercepts of the graph of 6, x, plus, 7, y, equals, 186x+7y=18. 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:
186x + 7(0) = 18
186x = 18
x = 18/186
x = 1/11
Therefore, the x-intercept is (1/11, 0).
To find the y-intercept, we set x = 0 and solve for y:
186(0) + 7y = 18
7y = 18
y = 18/7
Therefore, the y-intercept is (0, 18/7) or (0, 2 4/7).