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  3. Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Com

Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Com

游客2024-01-12  25
问题 Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Compare the two quantities. You may use additional information centered above the quantities if such information is given. Choose one of the following answer choices:
A if Quantity A is greater;
B if Quantity B is greater;
C if the two quantities are equal;
D if you cannot determine the relationship based on the given information.
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选项 A、 
B、 
C、 
D、 
答案 A
解析 The correct answer is A. To solve this system of equations, first multiply the bottom equation by -2 to get -2x+8y=26. Next, add the two equations together(note: their x-values will conveniently cancel out).
2x+3y=18
-2x+8y=26
11y=44
Dividing both sides of the equation 11y=44 yields y=4. Using the original equation x-4y=-13, substitute 4 for y. Thus x-4(4)=-13, or x-16=-13. Adding 16 to both sides results in x=3. Therefore, Quantity A, x+y, equals 3+4, or 7. Quantity B is 6, which is less than 7.
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