Question

the given pair of linear equation have infinitely many solutions nine x + K Y + 12 is equal to zero of 18 x + 6 Y + 24 is equal to zero then value of k is​

Answer 1

Answer:

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so here we go

Step-by-step explanation:

now here given equations are x+ky+12=0

ie x+ky=-12

also 18x+6y+24=0 ie 18x+6y=-24

so now comparing x+ky=-12 with a1x+b1y=c1

we get a1=1 b1=k and c1=-12

also comparing 18x+6y=-24 by a2x+b2y=c2

we get a2=18 b2=6 c2=-24

now as both equations have infinitely many solutions

a1/a2=b1/b2=c1/c2

so 1/18=k/6=-12/-24

so consider 1/18=k6

ie k=3

hence value of k is 3