What value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x + y = –3 b = (a)2 (b) 4<

Question

What value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x + y = –3 b =
(a)2
(b) 4
(c) 6
(d) 8

in progress 0
Anna 11 mins 2021-10-13T04:17:36+00:00 1 Answer 0

Answers ( )

    0
    2021-10-13T04:19:17+00:00

    Answer with explanation:

    Consider two linear equation in two variable,

    ax + by =c

    p x +q y=r

    The equations have an infinite number of solutions , means the two lines are Coincident, when it follows the following law

    \frac{a}{p}= \frac{b}{q}= \frac{c}{r}

                                          ————————————–(1)

    Now, equation of two lines are

    1. y= 6 x -b

    →6 x -y -b=0

    2. -3 x +y= -3

    ⇒-3 x+y+3=0

    By the above law,that is law 1, the two lines will be coincident

    \frac{6}{-3}=\frac{-1}{1}= \frac{-b}{3}\\\\2=1= \frac{b}{3}

    Which is not possible that is ,2≠1.

    →→→Hence the two lines can never be coincident for any value of b.

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )