Agroup of students goes out to lunch. if two have burritos and five have tacos, the bill will be $19.50. if five students have burritos and two have tacos, the bill will be $22.50. find the price of each taco and burrito

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

10x+25y=97.5

-10x-4y=-45

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.