Question

for the pair of equation alfa x+3y=-7 2x-6y=14 to have infinitely many solution the valu of alfa should be 1. is the statement is true?give reason.

Answer 1

no.
as for infinitely many solutions a1/a2 = b1/b2 = c1/c2
hence alpha = -1

Answer 2

Then
x^(x-3y) -7(x-2)=14
x^=(x-3y) (x-7) =14
x^=(x-3y) (x-7)
x=3y. x=-7