SOLUTION: -x-3y=-4 3x+y=16

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Question 166273: -x-3y=-4
3x+y=16
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
1) -x-3y=-4 ------------> LINE EQN 1
it follows: y=mx%2Bb,
-3y=x-4
y=%28-1%2F3%29x%2B%284%2F3%29 ----> slope=-1%2F3; y-intercept=4%2F3
f(y)=0:
x=%28-4%2F3%29%28-3%2F1%29=12%2F3=4
f(x)=0:
y=4%2F3
2) 3x%2By=16 ---------------> LINE EQN 2
y=-3x%2B16 ---> slope=-3; y-intercept =16
f(y)=0:
3x=16 ----> x=16%2F3
f(x)=0:
y=16
See graph:
drawing%28300%2C300%2C-7%2C7%2C-7%2C18%2Cgrid%281%29%2Cgraph%28300%2C300%2C-7%2C7%2C-7%2C18%2C%28-1%2F3%29%28x%29%2B4%2F3%2C-3x%2B16%29%2Ccircle%284%2C0%2C.2%29%2Ccircle%280%2C4%2F3%2C.2%29%2Ccircle%2816%2F3%2C0%2C.20%29%2Ccircle%280%2C16%2C.20%29%29 ----> Green Line 3x%2By=16 @ points (16/3,16); Red Line -x-3y=-4 @ points (4,4/3)
Thank you,
Jojo