Question

已知关于x,y的方程组{3x+2y=k+1 4x+3y=k—1的解满足x>y,求k的取值范围

要过程啊

Answer 1

3x+2y=k+1....①
4x+3y=k-1....②

①*3
9x+6y=3k+3....③
②*2
8x+6y=2k-2....④
③-④
x=k+5
代入①
3k+15+2y=k+1
y=-k-7
x>y
k+5>-k-7
2k>-12
k>-6

Answer 2

3x+2y=k+1....①
4x+3y=k-1....②

①*3
9x+6y=3k+3....③
②*2
8x+6y=2k-2....④
③-④
x=k+5
代入①
3k+15+2y=k+1
y=-k-7
x>y
k+5>-k-7
2k>-12
k>-6

Answer 3

楼上的正确