Question

check whether the pair of equations 5x-4y+8=0 and 7x+6y-9=0 is consistent or not verify by graphical representation

Answer 1

5x-4y+8 = 0

7x+6y-9 =0

we know that only

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

BUT 5x-4y+8 = 0

7x+6y-9 =0

THIS EQUATIONIS CONSISTENT

BECAUSE A1/A2 IS NOT EQUAL TO B1/B2

SO, ITS HAVE UNIQUE SOLUTION

AND ITS CONSISTENT

.IN THIS CASE LINE IS CONSISTENT