Question

1. Match the equation with its solution.(3 points3i+2i−4=18i

Answer 1

To solve the equation \(3i + 2i - 4 = 18i\), we first combine the like terms on the left side.

Starting from the original equation:

\[
3i + 2i - 4 = 18i
\]

Combine the terms involving \(i\):

\[
(3i + 2i) - 4 = 18i
\]
\[
5i - 4 = 18i
\]

Next, we isolate the \(i\) terms by moving \(5i\) to the right side:

\[
-4 = 18i - 5i
\]
\[
-4 = 13i
\]

Now, to solve for \(i\), divide both sides by \(13\):

\[
i = \frac{-4}{13}
\]

Thus, the solution for the equation \(3i + 2i - 4 = 18i\) is:

\[
i = \frac{-4}{13}
\]

You can match this solution with the stated equation. Would you like further assistance or another problem to solve?