Log inSign up free

Question Bank / Math / Nonlinear Equations

Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

  • 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 up gradually to point (0 comma 3.25).
      • In quadrant 1, the curve trends up sharply.
    • The curve passes through the following points:
      • (1 comma 3.5)
      • (2 comma 4)
      • (4 comma 7)
  • For the line in the system:
    • The line slants gradually up from left to right.
    • The line passes through the following points:
      • (2 comma 4)
      • (7 comma 7.5)

The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution to this system?

ExplanationShow

Choice C is correct. The solution to the system of two equations corresponds to the point where the graphs of the equations intersect. The graphs of the linear equation and the nonlinear equation shown intersect at the point . Thus, the solution to the system is .

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

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

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

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

More Nonlinear equations in one variable and systems of equations in two variables questions