• Answer of this question

    Prove that the lines 5x-3y=1 , 2x+3y=23 , 42x+21y=257.
    Prem Singh's image
    Prem Singh

    Comparing with a1x+b1y+c1=0  

    a2x+b2y+c2=0

    a3x+b3y+c3=0

    Solving 2 and 3 

    Therefore pt. Of intersection of 2 and 3 is

    Here a1=5, b1=-3, c1=1, a2=2, b2=3, c2=23, a3=42, b3=21, c3=257. 

    X=3×257-257×2/2×21-42×3 =771-483/42-126=288/-84=72/-21

    Y=23×42-257×2/2×21-42×3=966-514/42-126=452/-84=113/-21

    (x,y) =72/-21 ,113/-21

    Therefore minus cancel out 

    So , (72/21 , 113/21)

     


    Written on Dec. 24, 2018, 3:32 p.m.