One taco supreme and to be fritos provide 3480 calories. two taco supremes and one beef burrito provide 3090 calories. find the the caloric content of each item.

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!

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

cant

step-by-step explanation: there is no picture