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Bryce took a quiz that consisted of true-or-false questions and multiple-choice questions. The true-or-false questions were worth 1 point each, and the multiple-choice questions were worth 2 points each. Bryce only knows that he answered 8 questions correctly and earned a total of 14 points. To determine the number of each type of question that he answered correctly, he wrote the system of linear equations x + y = 8 and x + 2 y = 14.
Which ordered pair is a solution to this system of linear equations, and what does the ordered pair represent?
(0, 8); Bryce answered 0 true-or-false questions correctly and 8 multiple-choice questions correctly.
1. (2, 6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
2.(6, 2); Bryce answered 6 true-or-false questions correctly and 2 multiple-choice 3.questions correctly.
4. (8, 0); Bryce answered 8 true-or-false questions correctly and 0 multiple-choice questions correctly.
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