Question

Find the values of x and y that makes each equation true. 3x–21i=12+(7y)i.

Answer 1

`3x-21i=12+(7y)i`

we must match the imaginary part and the real part separately

SO

`\begin{gathered} 3x=12 \\ -21=7y \end{gathered}`

now, we can solve x and y

`\begin{gathered} x=(12)/(3) \\ x=4 \end{gathered}`
`\begin{gathered} y=(-21)/(7) \\ y=-3 \end{gathered}`

check:

`\begin{gathered} 3(4)-21i=12+(7(-3))i \\ 12-21i=12+(-21i) \\ 12-21i=12-21i \end{gathered}`

right