6 Drag each label to the correct location on the image. Identify which equations have one solution, Infinitely many solutions, or no solution. 0.5y+3.2y = 20 1+22–1 = 42+9–22 32+2.5 = 3.2 +3 z 1.1++2= 3.1+ : 4.5 = 3.2 +4.57 21+4=31+ No Solution One Solution Infinitely Many Solutions

Step-by-step explanation:

1). 0.5y + 3.2y = 20

   3.7y = 20

   y =

   One Solution.

2). 7.5 + 2z - 0.25 = 4z + 7.25 - 2z

   7.25 + 2z = 2z + 7.25

   Since, both the sides of the equation are same, there will be infinitely many solutions.

3). 3z + 2.5 = 3.2 + 3z

   This equation represents two lines,

   y = 3z + 2.5 and y = 3.2 + 3z

   Since both the equations represent the parallel lines (slopes are same), they will be parallel and solutions will be no solution.

4). 1.1 + 0.75x + 2 = 3.1 + 0.75x

   3.1 + 0.75x = 3.1 + 0.75x

   Both the sides of the equation are equal, there will be infinitely many solution.

5). 4.5r = 3.2 + 4.5r

   Both the sides of the equation represent the parallel lines (with same slopes), they will have no solutions.

6). 2x + 4 = 3x + 0.5

   4 - 0.5 = 3x - 2x

   x = 3.5

   One solution.      

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