Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 2/5

Which system has no solution?

  • A

    y=2x+1y = 2x + 1 and y=2x+1y = 2x + 1

  • B

    y=2x+1y = 2x + 1 and y=x+4y = -x + 4

  • C

    y=2x+1y = 2x + 1 and y=3x+1y = 3x + 1

  • D

    y=2x+1y = 2x + 1 and y=2x+5y = 2x + 5

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Explanation

Same slope (2), different intercepts → parallel, no solution.

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