graph the system of inequalities y> 2x-3 and 3y-x≤6

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01-06-2015
Mathematics

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graph the system of inequalities y> 2x-3 and 3y-x≤6

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Panoyin Panoyin · Answer 1 · 2015-06-01T22:53:33+02:00

Panoyin Panoyin

01-06-2015

y > 2x - 3
3y - x ≤ 6
   ↓
y = 2x - 3
3y - x = 6

    3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
      6x - 9 - x = 6
      6x - x - 9 = 6
   5x - 9 = 6
   + 9 + 9
      5x = 15
       5      5
      x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)

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