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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).

Answer :

calculista

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations [tex]3x+2y=27[/tex]  and [tex]2x+y=16[/tex] is [tex](5,6)[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]3x+2y=27[/tex] -----> equation A

[tex]2x+y=(27-11)[/tex]

[tex]2x+y=16[/tex] ----> equation B

Solve the system of equations

Multiply the equation B by [tex]-2[/tex]

[tex]-2(2x+y)=-2*16[/tex] ----->[tex]-4x-2y=-32[/tex] ------> equation C

Adds equation A and equation C

[tex]3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5[/tex]

Substitute the value of x in the equation B

[tex]2(5)+y=16[/tex]

[tex]10+y=16[/tex]

[tex]y=6[/tex]

The solution of the system of equations is the point [tex](5,6)[/tex]

so

The price of each burger is [tex]\$5[/tex]

The price of each sandwich is [tex]\$6[/tex]

whenever14

Answer:

the answer is c he is wright

Step-by-step explanation:

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