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

I ACTUALLY CANNOT SHOW YOU THE GRAPH BUT WE CAN FIND IT OUT BY ANOTHER METHOD

IF A1/A2=B1/B2=C1/C2

THEN IT IS CONSISTENT

IF A1/A2 IS NOT EQUAL TO B1/B2

THEN IT IS CONSISTENT

IF A1/A2=B1/B2 IS NOT EQUAL TO C1/C2THEN IT IS INCOSISTENT

HERE A1=COEFFICENT OF X TERM OF FIRST EQUATION

A2=COFFICENT OF X TERM OF SECOND EQUATION

SIMILARLY B1 AND B2 AND C1 AND C2

NOW 5/7 IS NOT EQUAL TO 4/6

HENCE IT IS CONSISTENT