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On the set of axes, solve the following system of inequalities graphically.
Label the solution set S.
2x + 3y < -3
y - 4x ≥ 2

Sagot :

Panoyinidn
 2x + 3y < -3 ⇒   2x + 3y = -3 ⇒    2x + 3y = -3
-4x +   y ≥ 2  ⇒ -4x +    y =  2 ⇒ -12x + 3y =  6
                                                            -14x = -9
                                                             -14    -14
                                                                 x = ⁹/₁₄
                                                       2x + 3y = -3
                                                  2(⁹/₁₄) + 3y = -3
                                                     1²/₇ + 3y = -3
                                                   - 1²/₇            - 1²/₇
                                                               3y = -4²/₇
                                                                3        3
                                                                 y  = -1³/₇
                               The solution set is {(⁹/₁₄, -1³/₇)}.
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