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21 votes
21 votes
Solve 48-5i=-4x+10yi

User Georgia
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1 Answer

15 votes
15 votes

Answer:

Explanation:

Suppose we decide to solve for y first. y will then be in terms of x AND a real and an imaginary term:

48-5i=-4x+10yi

The goal here is to solve for y. Adding 4x to both sides yields

48 - 5i + 4x = 10yi

and then we divide both sides by 10i to isolate the variable y:

48 - 5i + 4x

----------------- = y This result is "y in terms of the constant 48, the

10i imaginary terms 5i and 10i, and the expression 4x.

We solve the original equation for x in a similar manner:

48-5i=-4x+10yi becomes 48 - 5i - 10yi = -4x, so that:

-(48 - 5i - 10yi)

x = ------------------------

4

Next time, please specify which variable (x or y) you're solving for. Thank you.

User Denis Nikanorov
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3.2k points