Find the x- and y-intercepts of the graph of 7, x, plus, 7, y, equals, 217x+7y=21. State each answer as an integer or an improper fraction in simplest form.
To find the x-intercept, we set y to 0:
217x + 7(0) = 21
217x = 21
x = 21/217 = 3/31
To find the y-intercept, we set x to 0:
217(0) + 7y = 21
7y = 21
y = 21/7 = 3
Therefore, the x-intercept is 3/31 and the y-intercept is 3.