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Thalia, a quiz Show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but
she was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the
number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations X+Y-20 and
2x+y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the
system by using the linear combination method as shown.
X+ y = 20
- 2x-y=-28
=-8
X-8
B+ y = 20
B+y-8-20-8
y - 12
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