Answer:
So the value of x=3 and y =3
Step-by-step 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
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 :
[tex]5x+3i=15+yi~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
[tex]a+bi=c+di~~~~~~~~~\Rightarrow a=c,~b=d.[/tex]
That is, the real and parts on both sides of the equation are equal.
From equation (i), we have
[tex]5x+3i=15+yi.[/tex]
Equating the real and imaginary parts on both sides of the above equation, we get
[tex]5x=15\\\\\Rightarrow x=\dfrac{15}{5}\\\\\Rightarrow x=3[/tex]
and
[tex]3=y\\\\\Rightarrow y=3.[/tex]
Thus, the required value of x is 3 and that of y is 3.
