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antoniya [11.8K]
3 years ago
13

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)
Mathematics
1 answer:
Hoochie [10]3 years ago
8 0
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.}
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jeka94

Answer:

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Step-by-step explanation:

El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:

Este es el sistema a resolver:

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