AlgebraEasyTranslating a word problem into a system
Algebra practice question
Which system of equations describes the statement: the sum of two numbers x and y is 9, and their difference is 1?
- A. x + y = 9 and x − y = 1Correct
- B. x + y = 1 and x − y = 9
- C. xy = 9 and x/y = 1
- D. x + y = 9 and x + y = 1
Answer: A. x + y = 9 and x − y = 1
Sum is x + y; difference is x − y.
Why the other answers are wrong
- B. x + y = 1 and x − y = 9
- Sum and difference are swapped.
- C. xy = 9 and x/y = 1
- Product and quotient, not sum and difference.
- D. x + y = 9 and x + y = 1
- Two sums that cannot both be true.
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