Question

Please help 1-5 and please show how you got the answers

Answer 1

Answer:

Step-by-step explanation:

1) 2x + y = 3 -(1)

  -3x + 2y = -8 -(2)

  (1) x 2 => 4x + 2y = 6 -(3)

  (3) - (2)

  => 4x + 2y + 3x - 2y = 6 + 8

  => 7x = 14

  => x = 2

  => 2(2) + y = 3

  => y = 3 - 4 = -1

2) 6x + 7y = -9 -(1)

   -4x - 5y = 5 -(2)

   (1) x 4 => 24x + 28y = -36 -(3)

   (2) x 6 => -24x - 30y = 30 -(4)

   (3) + (4)

   => 24x + 28y - 24x - 30y = -36 + 30

   => -2y = -6

   => y = 3

   => 6x + 7(3) = -9

   => 6x = -30

   => x = -5

3) -x - 7y = 9 -(1)

   -x + 9y = -23 -(2)

   (1) - (2)

   => -x - 7y + x - 9y = 9 + 23

   => -16y = 32

   => y = -2

   => -x - 7(-2) = 9

   => -x = -23

   => x = 23

4) -x + 9y = -5 -(1)

    x - 5y = 1 -(2)

    (1) + (2)

   => -x + 9y + x - 5y = -5 + 1

   => 4y = -4

   => y = -1

   => x - 5(-1) = 1

   => x = -5

5) -2x + y = 10 -(1)

     4x + y = -14 -(2)

     (1) - (2)

    => -6x = 24

    => x = -4

    => 4(-4) + y = -14

    => y = -14 + 16 = 2