12-05-2015
Mathematics

Answered

which is the solution to the system of inequalities? y< 2x+7 and y <_-x+3

Answer :

Panoyin Panoyin

12-05-2015

y < 2x + 7 ⇒ y₁ = 2x + 7
y ≤ -x + 3 ⇒ y₂ = -x + 3

2x + 7 = -x + 3
+ x + x
3x + 7 = 3
       - 7 - 7
   3x = -4
      3 3
   x = -1¹/₃
   y = 2x + 7
   y = 2(-1¹/₃) + 7
   y = -2²/₃ + 7
   y = 4¹/₃
   (x, y) = (-1¹/₃, 4¹/₃)

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