Question

match the equation with its solution
3i+5=3i+7
I = 7
Infinite solutions
I = 6
I=2
I=11
I=-12
I=5
No solution

Answer 1

Let's analyze the equation:

\[ 3i + 5 = 3i + 7 \]

To solve for \( i \), we want to isolate \( i \).

1. Start by subtracting \( 3i \) from both sides:
\[ 5 = 7 \]

This is a false statement, which means there are no values of \( i \) that would satisfy this equation.

In conclusion:

- The equation has **no solution**.

So the correct match is:
- **No solution**.

Answer 2

3(2i+7)=6i+21
I = 7
Infinite solutions
I = 6
I=2
I=11
I=-12
I=5

Answer 3

Let's solve the equation step by step:

\[ 3(2i + 7) = 6i + 21 \]

First, distribute the \( 3 \) on the left side:

\[ 3 \cdot 2i + 3 \cdot 7 = 6i + 21 \]

This simplifies to:

\[ 6i + 21 = 6i + 21 \]

Now, we can see that both sides of the equation are identical. This means that any value of \( i \) will satisfy the equation.

Thus, the solution is:

- **Infinite solutions**.

Answer 4

3i+2i-7=18
I = 7
I = 6
I=2
I=11
I=-12
I=5

Answer 5

Let's solve the equation step by step:

\[
3i + 2i - 7 = 18
\]

First, combine like terms on the left side:

\[
(3i + 2i) - 7 = 18
\]

This simplifies to:

\[
5i - 7 = 18
\]

Next, add \( 7 \) to both sides to isolate the term with \( i \):

\[
5i = 18 + 7
\]

\[
5i = 25
\]

Now, divide by \( 5 \) to solve for \( i \):

\[
i = \frac{25}{5} = 5
\]

Thus, the solution is:

- **I = 5**.