Solve the following equation for x and y 7x - 9i = sqrt(5) + 9yi

We have to solve this equation.
This equation has a real part and an imaginary part.
We then can write an equation for the real part and another for the imaginary part:
[tex]\begin{cases}7x=\sqrt{5}{} \\ -9i={9yi}\end{cases}[/tex]We can solve this as:
[tex]\begin{gathered} 7x=\sqrt{5} \\ x=\frac{\sqrt{5}}{7} \end{gathered}[/tex][tex]\begin{gathered} -9i=9yi \\ \frac{-9i}{9i}=y \\ y=-1 \end{gathered}[/tex]Answer: x = √5/7 and y = -1