Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations to their solutions.

Step-by-step explanation:

1). 2x + y = 12 (1)

   x = 9 - 2y (2)

   By substituting the value of x from equation (2) to equation (1)

   2(9 - 2y) + y = 12

   18 - 4y + y = 12

   18 - 3y = 12

   3y = 18 - 12

   y = 2

   By substituting the value of x in equation (2)

    x = 9 - 2(2)

    x = 9 - 4

    x = 5

2). x + 2y = 9 (1)

    2x + 4y = 20

    x + 2y = 10 (2)

    Since, both the equations are the parallel equations,

    Therefore, No solutions will be the answer.

3). x + 3y = 16 (1)

    2x - y = 11 (2)

    Multiply equation (2) by 3 the add to equation (1)

    6x - 3y + (x + 3y) = 16 + 33

    7x = 49

     x = 7

     From equation (1),

     7 + 3y = 16

     3y = 9

     y = 3

4). y = 11 - 2x (1)

    4x - 3y = -13 (2)

    By substituting the value of y from equation (1) to (2),

    4x - 3(11 - 2x) = -13

     4x - 33 + 6x = -13

     10x = 33 - 13

     10x = 20

     x = 2

      From equation (1)

     y = 11 - 2(2)

    y = 7

5). y = 10 + x (1)

    -3x + 3y = 30

    -x + y = 10

     y = 10 + x (2)

    Equations (1) and (2) are same.

    Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 (1)

    x - 2y = -7 (2)

    Multiply equation (1) by 2 then add to equation (2)

    4x + 2y + (x - 2y) = 22 - 7

    5x = 15

    x = 3

    From equation (2)

    3 - 2y = -7

    2y = 3 + 7

     y = 5

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step-by-step explanation: