已知二元一次方程组3x+4y=2k-3,2x-y=3k+4的解题满足;|x+y|
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已知二元一次方程组3x+4y=2k-3,2x-y=3k+4的解题满足;|x+y|
已知二元一次方程组3x+4y=2k-3,2x-y=3k+4的解题满足;|x+y|<2,求整数k的值
已知二元一次方程组3x+4y=2k-3,2x-y=3k+4的解题满足;|x+y|
3x+4y=2k-3 (1).
2x-y=3k+4 (2),
(2)*4+(1),消去y:11x=14k+13.
x=(14k+13)/11.
将x值代人(2),求y值:y=2*(14k+13)/11-(3k+4).
y=(28k+26-33k-44)/11.
=(-5k-18)/11.
∵|x+y|
x=(14k+13)/11 y=(-5k-18)/11
=> |(9k-5)/11|<2 => |9k-5|<22 => -22<9k-5<22 => -17<9k<27 => (-17/9)