1.求下列两条相交直线的交点:1.求下列两条相交直线的交点:(1)5x-6y+1=0和7x+8y-15=0;(2)3x+

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  • (1)5x-6y+1=0和7x+8y-15=0;

    5x-6y+1=0 方程两边同乘以 4 20x-24y+4=0 (1)

    7x+8y-15=0 方程两边同乘以 3 21x+24y-45=0 (2)

    (1)+(2) 41x-41=0 x=1 y=1 交点(1,1)

    (2)3x+2y+1=0和5x-3y-11=0

    3x+2y+1=0 方程两边同乘以 3 9x+6y+3=0 (1)

    5x-3y-11=0 方程两边同乘以 2 10x-6y-22=0 (2)

    (1)+(2) 19x-19=0 x=1 y=-2 交点(1,-2)

    (3)2x+y-8=0和x-2y+1=0;

    2x+y-8=0 方程两边同乘以 2 4x+2y-16=0 (1)

    x-2y+1=0 (2)

    (1)+(2) 5x-15=0 x=3 y=2 交点(3,2)

    (4)2x-3y+10=0和3x-4y-2=0.

    2x-3y+10=0 方程两边同乘以 4 8x-12y+40=0 (1)

    3x-4y-2=0 方程两边同乘以 3 9x-12y-6=0 (2)

    (2)-(1) x-46=0 x=46 y=34 交点(46,34)