Question

If 3x - by + 2 = 0 and 9x + 3y + a = 0 represent the same straight line, find the value of a and b.​

Answer 1

Answer:

The coincident lines are given as,

3x+4y+2=0

And

9x+12y+k=0

Comparing the equations with the general equations

a1x+b1y+c1=0

a2x+b2y+c2=0

Then,

a1=3,b1=4,c1=2,a2=9,b2=12,c2=k

Since, the lines are coincident, then,

a2a1=b2b1=c2c1

93=124=k2

Answer 2

Answer:

a=-1,b=6

Step-by-step explanation:

3x-by+2=0                      9x/3+a/3=y

3x+2=by                           -2=-a/3

3x/b+2/b=y                       a=6

3/b=-3

b=-1