Question

find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. a. the x-intercept is (6, 0) , they y-intercept is (0, -5) b. the x-intercept is (0, 6), they y-intercept is (-5, 0) c. the x-intercept is (5, 0); the y-intercept is (0, -6) d. the x-intercept is (0, 5); the y-intercept is (-6, 0)

Answer 1

$5x-6y=30\ \ \ \ |subtract\ 5x\ from\ both\ sides\\\\-6y=-5x+30\ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\y=\frac{5}{6}x-5\\\\x-intercept\ if\ y=0\\subtitute\\\\\frac{5}{6}x-5=0\ \ \ |add\ 5\ to\ both\ sides\\\\\frac{5}{6}x=5\ \ \ \ |\cdot\ \frac{6}{5}\\\\\fbox{x=6}\\\\y-intercept\\subtitute\\\\y=\frac{5}{6}\cdot0-5\\\\\fbox{y=-5} \\\\Answer:\boxed{x-intercept\ (6;\ 0);\ y-intercept\ (0; -5)}\to\fbox{A.}$