Question 9 Answer & Explanation - SAT Advanced Math

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advanced-math

Which system has no solution?

$y = x^2$ and $y = -5$

$y = x^2$ and $y = 5$

$y = x^2$ and $y = x$

$y = x^2$ and $y = 2x - 1$

Correct Answer: A

Choice A is the correct answer.

A: $x^2 = -5$ . Impossible. (No solution).
B: $x^2 = 5$ . Two solutions.
C: $x^2 = x$ . Two solutions ( $0, 1$ ).
D: $x^2 = 2x - 1$ . One solution ( $1$ ).

Choice B is incorrect because it has 2 solutions. Choice C is incorrect because it has 2 solutions ( $0, 1$ ). Choice D is incorrect because it has 1 solution.

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