. Match the equation with its solution.(3 points)

Question

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3(2i−7)=6i−21
2i+3=2i−5
3i+2i−4=18i

Answer 1

Here are the equations matched with their solutions:

1. Equation: 3(2i - 7) = 6i - 21
   Solution: This simplifies to 6i - 21 = 6i - 21. This is true for all values of i, hence it has infinite solutions.

2. Equation: 2i + 3 = 2i - 5
   Solution: This simplifies to 3 = -5, which is false. Therefore, there are no solutions.

3. Equation: 3i + 2i - 4 = 18i
   Solution: This simplifies to 5i - 4 = 18i, which leads to -4 = 13i, resulting in i = -4/13.

So, the final matching would be:

• 3(2i - 7) = 6i - 21 → Infinite solutions
• 2i + 3 = 2i - 5 → No solutions
• 3i + 2i - 4 = 18i → i = -4/13