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=
Question
Find the values of x and y that satisfy the equation.−12x+yi=60−13ix= and y=
Solution
To solve for and , we equate the real and imaginary parts on both sides of the equation.
The equation given is .
Equating the real parts, we get: -12x = 60 Solving for x, we get x = -60 / 12 = -5.
Equating the imaginary parts, we get: y = -13.
So, the solution to the equation is and .
Similar Questions
Find the values of $x$x and $y$y that satisfy the equation.$-10x+12i=20+3yi$−10x+12i=20+3yi$x=$x= and $y=$y=
Find the values of $x$x and $y$y that satisfy the equation.$2x-yi=14+12i$2x−yi=14+12i$x=$x= and $y=$y=
Find the values of $x$x and $y$y that satisfy the equation.$15-3yi=\frac{1}{2}x+2i$15−3yi=12x+2i$x=$x= −6yi+30−4i 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.$9x-18i=-36+6yi$9x−18i=−36+6yi$x=$x= and $y=$y=
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.