Knowee
Questions
Features
Study Tools

Find the values of $x$x​ and $y$y​ that satisfy the equation.$54-\frac{1}{7}yi=9x-4i$54−17​yi=9x−4i​$x=$x=​  6−iy63​+4i9​ and  $y=$y=​  63xi+28−378i

Question

Find the values of xx and yy that satisfy the equation.

54 - \frac{1}{7} y i = 9x - 4i

where

x = 6 - \frac{iy}{63} + \frac{4i}{9}

and

y = 63xi + 28 - 378i

🧐 Not the exact question you are looking for?Go ask a question

Solution

The given equation is 5417yi=9x4i54-\frac{1}{7}yi=9x-4i.

First, we can separate the real and imaginary parts of the equation:

Real part: 54=9x54 = 9x, Imaginary part: 17y=4-\frac{1}{7}y = -4.

Solving these equations gives:

For the real part: x=549=6x = \frac{54}{9} = 6.

For the imaginary part: y=174=47y = \frac{1}{7} * 4 = \frac{4}{7}.

So, the solution to the equation is x=6x = 6 and y=47y = \frac{4}{7}.

Similar Questions

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=​

Solve the following equations for x and y.4x – 3y = 7, 3x + 2y = 18.3, 23, 44, 35, 3

For each value of y, determine whether it is a solution to =9÷y4.y Is it a solution?Yes No32 28 44 48

Find the solution of the system of equations.7, x, minus, 7, y, equals, 77x−7y=7minus, 4, x, minus, 7, y, equals, minus, 26−4x−7y=−26

Find the product of these complex numbers.(9 + 6i)(7 + 4i) =A.63 + 24iB.63 - 24iC.39 + 78iD.87 + 78iSUBMITarrow_backPREVIOUS

1/2

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.