Question

If the plotes A(4,6)and B(1,3) lie on the graph of ax+by=8,then find the value of a and b.

Answer 1

(4,6) and (1,3) lie on ax+by=8
4a+6b=8 and a+3b=8
a=8-3b
4(8-3b)+6b=8
32-12b+6b=8
-6b=-24
b=4
a=8-3(4)
a=8-12
a=-4