Question

For what value of "m" the given pair of linear equations 3x - my = 6 and 2x - 6y = 4 have infinitely many solutions?
1 point
A) 3
B) -3
C) 9
D) -9

Answer 1

Answer:

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Step-by-step explanation:

so here given linear equations are 3x - my = 6 and 2x - 6y = 4

so comparing both equations with

a1x+b1y=c1 and a2x+b2y=c2

we get

a1=3 a2=2

b1=-m b2=-6

c1=6 c2=4

now as above linear equations have infinitely many solutions

we get

a1/a2=b1/b2=c1/c2

substitute given values in it

we get

3/2=-m/-6=6/4

ie 3/2=m/6=6/4

considering now only

3/2=m/6

ie 18=2m

so m=9

hence value of k is 9