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Mice21 [21]
3 years ago
12

Consider the system of inequalities.

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

 b)

The point is (-1,5) and (0,0) also satisfies the given inequalities

The solution of the given inequalities

(x, y) = (4 , -2 )

Step-by-step explanation:

<em>Step(i):</em>-

Given system of equations are

3x + 2y < 8

-5x - 9y > -2

The solution of the given equations are

3x + 2y = 8   multiply '5'

-5x - 9y = -2 multiply '3'

       15 x + 10 y = 40  ...(i)

       -15x - 27 y = -6.....(ii)

Adding (i) and (ii) , we get

          - 17 y = 34

                y = -2

Substitute y = -2 in equation 3x + 2y =8

          3x - 4 =8

             3x = 12

               x =4

The solution of the given system of inequalities

(x, y) = (4 , -2 )

<u><em>Step(ii)</em></u>:-

                   3x + 2y < 8

                  -5x - 9y > -2

The point is (-1,5)

                 -3 + 10 < 8

                    7 < 8

                5 - 45 > -2

                   -40 > -2

The point (0,0) also satisfies the given inequalities

Final answer :-

The point is (-1,5) and (0,0) also satisfies the given inequalities

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Step-by-step explanation:

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Step-by-step explanation:

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