One taco supreme and two cheeseburgers provide 2220 calories. two taco supremes and one cheeseburger provide 2130 calories.
how much calories does one supreme taco have?

according to the problem

1T + 2B = 2670 and

2T + 1B = 2580

Using the first equation:

T + 2B = 2670

T = 2670 - 2B

Now substitute this expression for T into the second equation:

2T + B = 2580

2(2670 - 2B) + B = 2580

Now, distribute the 2 and do some algebra:

5340 - 4B + B = 2580

5340 - 3B = 2580

5340 = 3B + 2580

2760 = 3B

920 = B A burrito has 920 calories.

Now, substitute this value for B into either equation to find T.

1T + 2B = 2670

T + 2(920) = 2670

T+ 1840 = 2670

T = 830 A taco has 830 calories.