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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 4/5

Which point is in the feasible region of x+2y≤8x + 2y \leq 8 and 2x+y≤82x + y \leq 8 with x,y≥0x, y \geq 0?

  • A

    (2,2)(2, 2)

    check_circle
  • B

    (5,5)(5, 5)

  • C

    (6,1)(6, 1)

  • D

    (1,6)(1, 6)

Explanation

(2,2)(2, 2): 2+4=6≤82 + 4 = 6 \leq 8 ✓, 4+2=6≤84 + 2 = 6 \leq 8 ✓.

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