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Find the values of x and y that satisfies the equation.

5x + 3i = 15 + yi

User Atul N
by
7.3k points

2 Answers

3 votes

Answer: The required value of x is 3 and that of y is 3.

Step-by-step explanation: We are given to find the values of x and y that satisfies the following equation :


5x+3i=15+yi~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that


a+bi=c+di~~~~~~~~~\Rightarrow a=c,~b=d.

That is, the real and parts on both sides of the equation are equal.

From equation (i), we have


5x+3i=15+yi.

Equating the real and imaginary parts on both sides of the above equation, we get


5x=15\\\\\Rightarrow x=(15)/(5)\\\\\Rightarrow x=3

and


3=y\\\\\Rightarrow y=3.

Thus, the required value of x is 3 and that of y is 3.

User Eivindml
by
8.4k points
5 votes

Answer:

So the value of x=3 and y =3

Explanation:

5x + 3i = 15 + yi

To find out x , set the constant terms equal to each other and solve for x

5x= 15

Divide by 5 on both sides

x= 3

To find out y , set the ';i' terms equal to each other and solve for y

3= y

So the value of x=3 and y =3

User Rootkit
by
9.2k points

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