Question #a67a439d - SAT Suite Question Bank

ID: a67a439d

Modded SAT Question Bank by Abdullah Mallik

$x + 7 = 10$

${(x + 7)}^{2} = y$

Which ordered pair $(x, y)$ is a solution to the given system of equations?

$left parenthesis 3 comma 100 right parenthesis$
$left parenthesis 3 comma 3 right parenthesis$
$left parenthesis 3 comma 10 right parenthesis$
$left parenthesis 3 comma 70 right parenthesis$

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Correct Answer: A

Rationale

Choice A is correct. The solution to a system of equations is the ordered pair $(x, y)$ that satisfies all equations in the system. It's given by the first equation in the system that $x + 7 = 10$ . Substituting $10$ for $x plus 7$ into the second equation yields $10 squared equals y$ , or $y equals 100$ . The x-coordinate of the solution to the system of equations can be found by subtracting $7$ from both sides of the equation $x + 7 = 10$ , which yields $x equals 3$ . Therefore, the ordered pair $left parenthesis 3 comma 100 right parenthesis$ is a solution to the given system of equations.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Easy