Match the equation with its solution(s).(5 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

3i+5=3i+7
3i+5=2i−7
3(2i+7)=6i+21
3(2i−7)=15
3i+2i−7=18

1. I =11
2. I = 5
3. 1 =6
4.1 = 2
5. I = -12
6. I = 7
7.infinite solutions
8. no solutions

Answer 1

Here are the matches between the equations and their corresponding solutions:

1. 3i + 5 = 3i + 7
   Match: 7. infinite solutions
   (Since the left side equals the right side for all values of i.)

2. 3i + 5 = 2i - 7
   Match: 2. i = 5
   (Solving, we get: i = 5.)

3. 3(2i + 7) = 6i + 21
   Match: 7. infinite solutions
   (LHS simplifies to 6i + 21, which equals RHS.)

4. 3(2i - 7) = 15
   Match: 1. i = 11
   (Expanding gives 6i - 21 = 15, which simplifies to i = 11.)

5. 3i + 2i - 7 = 18
   Match: 5. i = -12
   (Combining gives 5i - 7 = 18, leading to i = -12.)

So, here’s the final matching:

1. 7. infinite solutions
2. 2. i = 5
3. 7. infinite solutions
4. 1. i = 11
5. 5. i = -12