A vendor 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
