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If 3x + 4y = 13 and xy = 1, find 3x – 4y.
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Answer:
xy=1
x=1/y
3x+4y=13
3/y+4y=13
3+4y^2=13y
4y^2-13y+3=0
4y^2-12y-y+3=0
4y(y-3)-1(y-3)=0
y=3 | y=1/4
x=1/y
x=1/3
3x-4y
=3×1/3-4×3
=1-12
=-11
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