Advanced MathMediumNonlinear system solved by substitution
Advanced Math practice question
If x² + y = 7 and x + y = 5, and x > 0, what is the value of x?
Answer: 2
Subtract: x² − x = 2 → x² − x − 2 = 0 → (x − 2)(x + 1) = 0 → x = 2 (positive). Then y = 3.
Common wrong answers
- If you answered 3
- 3 is y, not x.
- If you answered 7
- 7 comes from setting x² = 7.
- If you answered -1
- −1 is the rejected negative root.
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