Question

maya had $27. she spent all the money buying three burgers for x dollars each and two sandwiches for y dollars each. if maya had bought two burgers and one sandwich, she would have been left with $11. the following system of equations models this scenario:
3x + 2y = 27
2x + y = 16
use the system of equations to solve for x and y.
○ (6, 5)
○ (5, 6)
○ (3, 2)
○ (2, 3)

Explanation:

Step1: Solve the second equation for y

From \(2x + y = 16\), we can express \(y\) in terms of \(x\) as \(y = 16 - 2x\).

Step2: Substitute y into the first equation

Substitute \(y = 16 - 2x\) into \(3x + 2y = 27\). So we have:

$$
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Step3: Find the value of y

Now substitute \(x = 5\) into \(y = 16 - 2x\):
\(y = 16 - 2\times5 = 16 - 10 = 6\)

Answer:

B. (5, 6)