Avendor sells hot dogs and bags of potato chips. a customer buys 5 hot dogs and 2 bags of potato chips for $14.50. another customer buys 4 hot dogs and 5 bags of potato chips for $15.00. find the cost of each item.

X=hot dogs
y=potato chips
5x+2y=14.5
4x+5y=15.00
solving the system of equations
20x+8y=58 by multiplying the first equation by 4
20x+25y=75 by multiplying the second equation by 5
17y=17--->y=1 by subtracting equation 2 from 1
substituting in one of the equations
4x+5=15--->4x=10--->x=10/4=5/2=2.5