81 2 3 4 5 6 7 8 9 8121 solve the system of equations If the

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8.1.21 solve the system of equations. If the 8 system has no solution, say that it is inconsistent, Graph the lines of the system, 5x -y 7 6x 2y 18 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The solution is x- and Type integers or simplified fractions) O B. There are infinitely many solutions. Using ordered pairs. they can be expressed as ((xy) x y is any real numb (Simplify your answer. Type an expression using y as the variable as needed.) c. The system is inconsistent, HW Score: 09%, Question Help

Solution

8.1.21        5x-y=7

                  6x+2y=18

             Multiply equation first by 2 and adding it to second we get

              10x-2y +6x +2y= 14+18

              16x=32

              x=2

             5x-y=7

             5(2) -y=7

             y=3

8.1.27      2x+y=4

               4x+2y=-3

             Multiply first by -2 and adding it to second equation we get

             -4x-2y+ 4x+2y=-8-3

              0=-11

          The system is inconsistent