Question x-3-y-
A solution to the given system of equations is . What is the value of ?
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 . Substituting for in the second equation in the given system of equations yields , or . Substituting for and for in the expression yields , or . Therefore, the value of is .
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.
More Systems Involving Nonlinear Equations practice questions
- x 2 + y + 7 = 7 20 x + 100 - y
- y = 76 y = x 2 - 5 The graphs of the given
- x 2 + y + 10 = 10 8 x + 16 - y
- In the xy -plane, a line with equation 2 y = c for some
- A system of equations consists of a quadratic equation and a linear equation. The
- x = 8 y = x 2 + 8 The graphs of the equations
- If is a solution to the system of equations above, which of the following
- If the ordered pair satisfies the system of equations above, what is one possible
Browse all Passport to Advanced Math practice questions or return to the full SAT question bank.
