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X + Y = 9 and X - Y = 3
Since 9 is three times 3, then
X + Y = 3 (X - Y)
which means that
X + Y = 3X - 3Y
so if we subtract X from both sides, we get
Y = 2X - 3Y
and if we then add 3Y to both sides, we get
4Y = 2X
then divide both sides by 2, giving us
2Y = X
Now, if we replace X with 2Y in the original equations, that gives us
2Y + Y = 9 and 2Y - Y = 3
Or,
3Y = 9 and Y = 3
Now we know that Y = 3 and 2Y = X, so I'll leave the last step (figuring out X) for you to do.
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
42
x=3
3 + 9 = 12
144 9+7 = 16 and 9*16 = 144