Answer: 900 calories in one taco supreme, 1290 calories in one beef burrito
X= number of taco supremes
Y= number of beef burritos
1x + 2y = 3480
2x + 1y = 3090
Multiply top equation by 2 to make it equal second equation
2(x + 2y = 3480) = 2x +4y = 6960
Solve using by setting equations equal to each other
2x + 4y = 6960
2x + y = 3090
2x = 6960 - 4y
2x = 3090 - y
6960 - 4y = 3090 - y
6960 = 3090 +3y
3870 = 3y
1290 = y (1290 calories in a beef burrito)
Substitute in for number of calories in a taco supreme
2x + (1290) = 3090
2x = 1800
x = 900 (900 calories in a taco supreme)
You can check by substituting the amounts back in to the original equations to see if they add up
1(900) + 2(1290) = 3480 Correct!
2(900) +1(1290) = 3090 Correct!
