Maya had $27. she spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. if maya would have bought 2 burgers and 1 sandwich, she would have been left with $11. a student concluded that the price of each burger is $5 and the price of each sandwich is $6. which statement best justifies whether the student's conclusion is correct or incorrect?

the student's conclusion is correct because the solution to the system of equations 3x + 2y = 11 and 2x + y = 16 is (5, 6).
b. the student's conclusion is incorrect because the solution to the system of equations 3x - 2y = 11 and 2x - y = 16 is (5, 6).
c. the student's conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6).
d. the student's conclusion is incorrect because the solution to the system of equations 2x + 3y = 27 and x + 2y = 16 is (5, 6).

Option C

The student's conclusion is correct because the solution to the system of equations  and is

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

-----> equation A

----> equation B

Solve the system of equations

Multiply the equation B by

-----> ------> equation C

Adds equation A and equation C

Substitute the value of x in the equation B

The solution of the system of equations is the point

so

The price of each burger is

The price of each sandwich is

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation:

i believe a. 12x≥120 is the answer