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Elan Coil [88]
3 years ago
11

HELP Select the correct answer. What is the solution of this linear system?

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

The solution for the given linear equation is ( 14, 8, 10 ), that is mentioned in option C.

Step-by-step explanation:

The give linear equations,

                             p+q+r = 32............................(1)

                                   p-r = 4.............................(2)

                                 2p+q=36............................(3)

Step:1

          Check for Option A,

          A ( 16, 8, 8 ) - ( p, q, r )

          Equation (1) becomes,

                 16 + 8 + 8 = 32

                            32 = 32            

          Equation (2) becomes.

                         16 - 8 = 4

                                8 ≠ 4    

          Equation (3) becomes,

                      2(16) + 8 = 36

                               40 ≠ 36                  

          Check for Option B,

          B ( 14, 10, 8 ) - ( p, q, r )

          Equation (1) becomes,

                 14 + 10 + 8 = 32

                            32 = 32            

          Equation (2) becomes.

                         14 - 8 = 4

                                6 ≠ 4    

          Equation (3) becomes,

                    2(14) + 10 = 36

                               38 ≠ 36    

          Check for Option C,

          C ( 14, 8, 10 ) - ( p, q, r )

          Equation (1) becomes,

                 14 + 8 + 10 = 32

                              32 = 32            

          Equation (2) becomes.

                         14 - 10 = 4

                                 4 = 4    

         Equation (3) becomes,

                      2(14) + 8 = 36

                              36 = 36  

          Check for Option D,                                        

          D ( 10, 12, 10 ) - ( p, q, r )

          Equation (1) becomes,

                 10 + 12 + 10 = 32

                               32 = 32            

          Equation (2) becomes.

                         10 - 10 = 4

                                 0 ≠ 4    

         Equation (3) becomes,

                      2(10) + 12 = 36

                                 32 = 36    

          Check for Option E,    

          E ( 10, 15, 10 ) - ( p, q, r )

          Equation (1) becomes,

                 10 + 15 + 10 = 32

                               35 ≠ 32            

           Equation (2) becomes.

                         10 - 10 = 4

                                0 ≠ 4    

          Equation (3) becomes,

                      2(10) + 15 = 36

                                35 ≠ 36  

Result:

         The solution for the given linear equation is ( 14, 8, 10 ), that is mentioned in option C.

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