If x = weight of Peppermints, y = weight of Gum etc. then x + y + z = the total weight of the candy. It would NOT equal 19.26, which seems to be the total PRICE.
Second thing I notice is that the prices all are multiples of 0.05, so any whole numbers are going to result in $$ amounts that are multiples of 0.05. So to get a value of 19.26 you'd need a fraction of a pound, so you're not going to get any nice simple answers.
Equation 3 would mean you could substitute one of the two variables, but then you have just equation 2, which has two variables, so you can't get an answer without equation 1.
I think Equation 1 must be x + y + z = <something> where that something is the total weight. But I doubt it's 19.26 pounds.
Equation 1: x+y+z=19.26
Equation 2: 1.35x+1.55y+1.85z=19.26
I never said x+y+z=1.35x+1.55y...etc.
They're two different equations, not one conjoined. So It does have an answer, the answer Is 19.26