Question

Match the equation with its solution.(3 points)

2i+3=2i−5
3i+2i−4=18i
3(2i−7)=6i−21

Answer 1

The last two answers are wrong

Answer 2

1. 2i+3=2i−5 - This equation has no solution.

2. 3i+2i−4=18i - The solution to this equation is 3.

3. 3(2i−7)=6i−21 - The solution to this equation is -6.

Answer 3

Apologies for the incorrect answers. Let's re-evaluate the equations:

1. 2i+3=2i−5
Begin by subtracting 2i from both sides to isolate the constant term:
3 = -5
This equation has no solution because the left side does not equal the right side.

2. 3i+2i−4=18i
Combine like terms on the left side of the equation:
5i - 4 = 18i
To isolate i, subtract 5i from both sides:
-4 = 13i
Divide both sides by 13 to solve for i:
i = -4/13

3. 3(2i−7)=6i−21
Distribute on the left side of the equation:
6i - 21 = 6i - 21
This equation is an identity, meaning that it is true for all values of i. There is no specific solution.