solve this promblem 2y-4x=8 (-2,8)
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(x,y)=(2,8) is a solution to 2y-4x=8, but not the only solution, because you would need two equations for unique values of x and y.

2y=4x=8⇒2y=8, so y=4; and 4x=8⇒x=2, 2y=4x is also true.

So what does (-2,8) mean? It could mean that y=-4x⇒y+4x=0.

Now we could have two equations:

y+4x=0 and 2y-4x=8, from these we would have 3y=8, y=8/3 so 4x=-y=-8/3 and x=-⅔.

Let's check: y+4x=-8/3-8/3=0✔️ 2y-4x=16/3-(-8/3)=16/3+8/3=24/3=8✔️

So the solution would be x=-⅔ and y=2⅔.

ago by Top Rated User (1.2m points)

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