Answer:
x=2(5−3iy−2i)
Step-by-step
Regroup terms.
5-3iy= \frac{1}{2} x+2i
Simplify \frac{1}{2}x\frac{x}{2}
5-3iy= \frac{x}{2}+2i
Subtract 2i from both sides.
5−3iy−2i= \frac{x}{2}
Multiply both sides by 2.
(5−3iy−2i)×2=x
Regroup terms
2(5−3iy−2i)=x
Switch sides
x=2(5−3iy−2i)
The solution for the variables x and y are 30 and -2/3 respectively:
Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:
Comparing the real sides:
[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]
For the imaginary sides:
[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]
Hence the solution for the variables x and y are 30 and -2/3 respectively:
Learn more here: https://brainly.com/question/17794535
