Question x-3-y-

2.3 Systems Involving Nonlinear Equations - Line + parabola intersections
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x = 3

y=15-x2

A solution to the given system of equations is x,y. What is the value of x y ?

A.

432

B.

54

C.

45

D.

18

x = 3 y = 15 - x 2 A solution to the given system of

Medium-difficulty · SAT Math · Systems Involving Nonlinear Equations — Line + parabola intersections. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. The first equation in the given system of equations is x=3. Substituting 3 for x in the second equation in the given system of equations yields y=15-32, or y=144. Substituting 3 for x and 144 for y in the expression x y yields (3)(144), or 432 . Therefore, the value of x y is 432 .

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.