Find the values of x and y for 3x + 2iy = 6 + 10i

In this question, the given equation is

To solve for x and y, we have to compare both sides, and on doing so, we will get

Now we need to isolate x and y, by getting rid of 3 and 2 , that is with x and y respectively .

So for the given equation to be true, the values of x and y are 2 and 5 respectively .

 The required values are x = 2  and  y = 5.

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

To find the values of x and y from the given equation, we need to compare the real and imaginary parts of the equation.

After comparing the real and imaginary parts from both sides of equation (i), we get

and

Thus, the required values are x = 2  and  y = 5.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: