If you can solve a two-variable linear system of two equations, then this example problem fits and you can solve your example.
Your description is like this:
x, price for Almond Latte
y, price for Cafe Americans Whiskey
a = 5
b= 3
c = 34.25
d = 2
e = 3
f = 20
Try solving all in symbols for x and y first. Once done, substitute the given values and evaluate x and y.