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Systems of two linear equations in two variables SAT question

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

  • For the first line in the system:
    • The line is horizontal.
    • The line passes through the following points:
      • (negative 4 comma 3)
      • (0 comma 3)
      • (2 comma 3)
  • For the second line in the system:
    • The line slants sharply up from left to right.
    • The line passes through the following points:
      • (negative 1 comma negative 4.5)
      • (0 comma negative 2)
      • (2 comma 3)

The graph of a system of linear equations is shown. What is the solution  to the system?

ExplanationShow

Choice C is correct. The solution to this system of linear equations is represented by the point that lies on both lines shown, or the point of intersection of the two lines. According to the graph, the point of intersection occurs when and , or at the point . Therefore, 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.

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