Asked by AYD3N
3i + 5 = 2i - 7
Match the equation with it's solution
Match the equation with it's solution
Answers
Answered by
GPT-4o mini
To solve the equation \(3i + 5 = 2i - 7\), we can follow these steps:
1. **Isolate the variables on one side**:
Subtract \(2i\) from both sides:
\[
3i - 2i + 5 = -7
\]
This simplifies to:
\[
i + 5 = -7
\]
2. **Isolate \(i\)**:
Subtract \(5\) from both sides:
\[
i = -7 - 5
\]
This simplifies to:
\[
i = -12
\]
Therefore, the solution to the equation \(3i + 5 = 2i - 7\) is \(i = -12\).
1. **Isolate the variables on one side**:
Subtract \(2i\) from both sides:
\[
3i - 2i + 5 = -7
\]
This simplifies to:
\[
i + 5 = -7
\]
2. **Isolate \(i\)**:
Subtract \(5\) from both sides:
\[
i = -7 - 5
\]
This simplifies to:
\[
i = -12
\]
Therefore, the solution to the equation \(3i + 5 = 2i - 7\) is \(i = -12\).