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Ann [662]
4 years ago
5

For which system of inequalities is (3,-7) a solution?

Mathematics
1 answer:
ElenaW [278]4 years ago
7 0

Answer:

D) x + y ≤ -4

    3x + 2y ≤ -5

Step-by-step explanation:

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

we will choose the system of inequalities

                                             x + y ≤ -4

                                            3x + 2y ≤ -5

                                             

                                          x + y = -4 ...(i)

                                         3x + 2y = -5..(ii)

Multiply equation (i) with '3'

                                         

                                    3x + 3y = -12

                                    3x  + 2 y = -5

                                 <u>  -      -           +</u>

                                    <u> 0 +  y =    -7    </u>          

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

                                       

Substitute   y  = -7  in equation (i)

                        x + y = -4

                       x - 7 = -4

                         x = -4 + 7

                        x = 3

<em>The solution of the given inequalities is ( 3, -7)</em>

<u />

                                   

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