16Hit1600
Advanced MathMediumEliminating a square between two equations

Advanced Math practice question

If x² + y = 10 and y = x² − 8, what is the value of y?

Answer: 1

Adding the equations in the form x² + y = 10 and x² − y = 8 gives 2x² = 18, so x² = 9 and y = 10 − 9 = 1.

Common wrong answers

If you answered 2
2 is 10 − 8, subtracting the constants.
If you answered 3
3 is a value of x.
If you answered 9
9 is x².

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