Question

which of the below pair are conistent pair? (a) x-3y=3, 3x-9y=2 (b) 51x+68y=110, 3x+4y=99 (c) 2x+3y=10, 9x+11y=12 ​

Answer 1

Answer:

c.Is a consistent pair

Step-by-step explanation:

a.x-33y-3=0

3x-9y-2=0

a1=1 b1=-3 c1=-3

a2=3 b2=-9 c2=-2

a1/a2=1/3 b1/b2= -3/-9 c1/c2= -3/2

= 3/9

= 1/3

Therefore,a1/a2=b1/b2 not equal to c1/c2

So,it is not consistent

b.51x+68y-110=0

3x+4y-9=0

a1=51 b1=68 c1= -110

a2=3 b2=4 c2=-9

a1/a2=51/3 b1/b2=68/4 c1/c2= -110/-9

=17/1 =17 =110/9

Therefore,a1/a2=b1/b2 not equal to c1/c2

so,it is not consistant

c.2x+3y-10=0

9x+11y-12=0

a1=2 b1=3 c1=-10

a2=9 b2=11 c2=-12

a1/a2=2/9 b1/b2=3/11

Therefore,a1/a2 not equal to b1/b2

so,it is consistent