Question

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

5x + 3i = 15 + yi

Answer 1

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.

Answer 2

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