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

Sagot :

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)