Answer:
[tex]x=(-12,0)[/tex]
[tex]y=(0,3)[/tex]
Step-by-step explanation:
x-intercept
[tex]-2(x-4y)=24[/tex]
[tex]x-4y=-\frac{24}{2}[/tex]
[tex]x-4y=-12[/tex]
[tex]x=4y-12[/tex]
[tex]x=4(0)-12[/tex]
[tex]x=-12[/tex]
y-intercept
[tex]-2(x-4y)=24[/tex]
[tex]x-4y=-\frac{24}{2}[/tex]
[tex]x-4y=-12[/tex]
[tex]-4y=-12-x[/tex]
[tex]y=-\frac{-12-x}{4}[/tex]
[tex]y=-\frac{-12-(0)}{4}[/tex]
[tex]y=\frac{12}{4}[/tex]
[tex]y=3[/tex]