Question for-th
- For the line in the system:
- The line slants sharply down from left to right.
- The line passes through the following points:
- (negative 2 comma 6)
- approximately (0 comma 3.8)
- For the curve in the system:
- Moving from left to right:
- The curve passes from quadrant 2 to quadrant 1.
- In quadrant 2:
- The curve trends down sharply to the point (negative 2 comma 6).
- The curve then trends down gradually to the y axis.
- In quadrant 1, the curve trends down gradually.
- As x increases, the curve approaches the line y equals 5.
- The curve passes through the following points:
- (negative 3 comma 8)
- (negative 2 comma 6)
- Moving from left to right:
The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution to this system?
For the line in the system: The line slants sharply down from left to right. The
Easy-difficulty · SAT Math · Systems Involving Nonlinear Equations — Substitution/elimination with nonlinear components. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. The solution to the system of two equations corresponds to the point where the graphs of the equations intersect in the xy-plane. The graphs of the linear equation and the nonlinear equation shown intersect at the point . Thus, the solution to this system is .
Choice A 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.
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