Question 230572
Price of Wheat flour per lb = X      Price of Rye flour per lb = Y

Equation 1:   5*X + 15*Y = $14.75
Equation 2:   5*X + 14*Y = $14.01

Set both euations equal to zero
Equation 1:   5*X + 15*Y - $14.75 = 0
Equation 2:   5*X + 14*Y - $14.01 = 0

Now we can set the equations equal to each other
5*X + 15*Y - $14.75 = 5*X + 14*Y - $14.01
Subtract 5*X from both sides
15*Y - $14.75 = 14*Y - $14.01
Subtract 14*Y from both sides
Y - $14.75 = -$14.01
Add $14.75 to both sides
Y = $0.74

I plugged $0.74 back in for Y in equation 1.  (You can use either equation)

Equation 1:   5*X + 15*Y - $14.75 = 0
5*X + 15*$0.74 - $14.75 = 0
5*X + $11.1 - $14.75 = 0
5*X + -$3.65 = 0
5*X = $3.65
Divide both sides by 5
X = $0.73