Answered

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

Sagot :

[tex]3x-21i=12+(7y)i[/tex]

we must match the imaginary part and the real part separately

SO

[tex]\begin{gathered} 3x=12 \\ -21=7y \end{gathered}[/tex]

now, we can solve x and y

[tex]\begin{gathered} x=\frac{12}{3} \\ x=4 \end{gathered}[/tex][tex]\begin{gathered} y=\frac{-21}{7} \\ y=-3 \end{gathered}[/tex]

check:

[tex]\begin{gathered} 3(4)-21i=12+(7(-3))i \\ 12-21i=12+(-21i) \\ 12-21i=12-21i \end{gathered}[/tex]

right

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