Question

Determine the value of 'a' if the system of linear equations 3x+2y-4=0 and 9x-ay-3=0 will represent parallel lines.​

Answer 1

Answer:

3x+2y-4=0

2y= -3x+4

y= -3/2x+4/2

y= -3/2x+2

comparing with y=mx+c

therefore

m=slope= -3/2

9x-ay-3=0

ay=9x-3

y=9/ax -3/a

comparing with y=mx+c

m=slope=9/a

Since the lines are parallel therefore their slopes are equal

therefore

-3/2=9/a

-3a=18

a= -6

Hope it helps

Answer 2

6 is correct answer please mark the Brainlist