16Hit1600
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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