mya8660
mya8660 mya8660
  • 25-10-2018
  • Mathematics
contestada

Find the x and y intercepts for the equation-3/4x+5/6y=15

Respuesta :

gmany
gmany gmany
  • 25-10-2018

x-intercept for y =0.

y-intercept for x = 0.

Substitute:

[tex]-\dfrac{3}{4}x+\dfrac{5}{6}y=15\\\\x-intercept:-\dfrac{3}{4}x+\dfrac{5}{6}(0)=15\\\\-\dfrac{3}{4}x=15\qquad|\cdot(-4)\\\\3x=-60\qquad|:3\\\\\boxed{x=-20}\\\\y-intercept:-\dfrac{3}{4}(0)+\dfrac{5}{6}y=15\\\\\dfrac{5}{6}y=15\qquad|\cdot6\\\\5y=90\qquad|:5\\\\\boxed{y=18}[/tex]

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