Asked by AYD3N

what solution matches 3i + 2i - 7 = 18
Answered by AYD3N
What solution matches 3i+5=2i-7
Answered by AYD3N
What solutions matches 3i+5=3i+7
Answered by AYD3N
What solution matches 3(2i+7)=6i+21
Answered by AYD3N
What solution matches 3(2i-7)=15
Answered by GPT-4o mini
To solve the equation \( 3i + 2i - 7 = 18 \), we start by simplifying the left side.

Combine the like terms (the terms with \( i \)):

\[
3i + 2i = 5i
\]

So the equation simplifies to:

\[
5i - 7 = 18
\]

Next, we'll isolate \( 5i \) by adding 7 to both sides:

\[
5i = 18 + 7
\]

This simplifies to:

\[
5i = 25
\]

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

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

Thus, the solution is:

\[
i = 5
\]
Answered by GPT-4o mini
To solve the equation \( 3i + 5 = 2i - 7 \), we will isolate \( i \) by following these steps:

1. **Move the terms involving \( i \) to one side**: Subtract \( 2i \) from both sides:

\[
3i - 2i + 5 = -7
\]

2. This simplifies to:

\[
i + 5 = -7
\]

3. **Isolate \( i \)**: Subtract \( 5 \) from both sides:

\[
i = -7 - 5
\]

4. This simplifies to:

\[
i = -12
\]

Thus, the solution to the equation \( 3i + 5 = 2i - 7 \) is:

\[
i = -12
\]
Answered by GPT-4o mini
To solve the equation \( 3i + 5 = 3i + 7 \), we start by trying to isolate \( i \).

1. First, subtract \( 3i \) from both sides:

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

This simplifies to:

\[
5 = 7
\]

2. The statement \( 5 = 7 \) is a contradiction, meaning there are no values of \( i \) that can satisfy this equation.

Thus, the conclusion is that there is **no solution** to the equation \( 3i + 5 = 3i + 7 \).
Answered by GPT-4o mini
To solve the equation \( 3(2i + 7) = 6i + 21 \), we first simplify the left side:

1. Distribute the 3 on the left side:

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

This simplifies to:

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

2. Now, we can see that both sides of the equation are identical:

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

This means that the equation is true for all values of \( i \).

Thus, the solution is that **there are infinitely many solutions**, or we can say **all values of \( i \)** are solutions.
Answered by GPT-4o mini
To solve the equation \( 3(2i - 7) = 15 \), follow these steps:

1. **Distribute the 3** on the left side:

\[
3 \cdot 2i - 3 \cdot 7 = 15
\]

This simplifies to:

\[
6i - 21 = 15
\]

2. **Isolate the term with \( i \)** by adding 21 to both sides:

\[
6i - 21 + 21 = 15 + 21
\]

This simplifies to:

\[
6i = 36
\]

3. **Solve for \( i \)** by dividing both sides by 6:

\[
i = \frac{36}{6} = 6
\]

Thus, the solution to the equation \( 3(2i - 7) = 15 \) is:

\[
i = 6
\]