Question

check whether the pair of equation 5x-4y+8=0 and 7x+6y-9=0 is consistent or not. verified by a graphical representation ?

Answer 1

5x-4y+8=0 and 7x+6y-9=0  

THIS IS CONSISTENCE

ONLY ONE EQUATION IS INCONSISTENCE

WHEN A1/A2 = B1/B2 NOT EQUAL TO C1/C2

THEN THE EQUATION IS CONSISTENCE

BUT THERE ARE A1/A2 IS NOT EQUAL TO B1/B2

==>  5/7 IS NOT EQUAL TO -4/6

SO, ITS HAVE UNIQUE SOLUTION . SO, IT IS A CONSISTENT

I HOPE ITS CLEAR