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QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations — Quiz

Question 1 • Mathematics I

Mira picked two numbers from a bowl. The difference of the two numbers was 4 , and the sum of one-half of each number was 18 The system that represents Mira’s numbers is shown. x minus y is equal to 4; 1 half x plus 1 half y is equal to 18 Which two numbers did Mira pick?

Answer
A
10 and 8
B
20 and 16
C
18 and 4
D
40 and 32

Explanation

The equation one-half x plus one-half y equals 18 means x + y = 36. Together with x − y = 4, adding the equations gives 2x = 40, so x = 20 and y = 16. Mira picked 20 and 16, which is choice B.

AI-written and checked against the verified answer.

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