Question

the pair of linear equations 2x+3y-9=0 and 4x+6y-18=0 and 4x+6y-18=0 are consistent or not ?why?​

Answer 1

Answer:

The system is Consistent

Step-by-step explanation:

2x + 3y-9 = 0

So,

a1 = 2

b1 = 3

c1 = -9

Similarly,

4x + 6y - 18 = 0

a2 = 4

b2 = 6

c2 = -18

$\frac{2}{4} = \frac{1}{2} ; \frac{3}{6} = \frac{1}{2} ; \frac{-9}{-18} = \frac{1}{2}$

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2} = \frac{1}{2}$

So, The equations are Parallel

And the system is Consistent.