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3i + 5 = 2i - 7

Match the equation with it's solution

1 answer

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 \(i = -12\).