Question

compare the racio and say wheather the following is consistent or inconsistent 5x -3y=11 and -10+6y=-22​

Answer 1

$\frac{a1}{a2} = \frac{5}{ - 10} = - \frac{1}{2} \\ \frac{b1}{b2} = \frac{ - 3}{6} = - \frac{ 1}{2} \\ \frac{c1}{c2 } = \frac{11}{ - 22} = - \frac{1}{2} \\ since \: \frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

then there are infinitely many solutions

and it is consistent

Answer 2

Answer:

answer is that it is consistent

Step-by-step explanation:

1. intersecting or concident lines are always consistent so he have them .

Now if it has interesting lines the they has unique solu.

but here a1/a2 = -1/2

and b1/b2 is also = -1/2

so it is not possible as the graphical method to calculate if they are unique or not is a1/a2 =/= b1/b2

then lets chexk whether it is concident

so method to see whether it has infinitely many solu. is

a1/a2 = b1/b2 = c1 / c2

so here also a1/a2 = 5/-10 = -1/2

b1/b2 = -3/6 = -1/2

c1/c2 = 11/-22 = -1/2

so it is concident line and is consistent