Find the values of $x$x and $y$y that satisfy the equation.$54-\frac{1}{7}yi=9x-4i$54−17yi=9x−4i$x=$x= 6−iy63+4i9 and $y=$y= 63xi+28−378i
Question
Find the values of x and y that satisfy the equation.54−17yi=9x−4ix= 6−iy63+4i9 and y= 63xi+28−378i
Solution
The given equation is .
First, we can separate the real and imaginary parts of the equation:
Real part: , Imaginary part: .
Solving these equations gives:
For the real part: .
For the imaginary part: .
So, the solution to the equation is and .
Similar Questions
Find the values of $x$x and $y$y that satisfy the equation.$9x-18i=-36+6yi$9x−18i=−36+6yi$x=$x= and $y=$y=
Find the values of $x$x and $y$y that satisfy the equation.$3x+6i=27+yi$3x+6i=27+yi$x=$x= and $y=$y=
Find the values of $x$x and $y$y that satisfy the equation.$-12x+yi=60-13i$−12x+yi=60−13i$x=$x= and $y=$y=
Find the values of $x$x and $y$y that satisfy the equation.$4x+2i=8+yi$4x+2i=8+yi$x=$x= and $y=$y=
Solve the simultaneous equations6x+7y= 9,3x+8y= −9.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.