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

Mathematics

2 answers:

Evgen [1.6K]3 years ago

7 0

In this question, the given equation is

$3x + 2yi = 6 + 10i$

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

$3x=6, 2y=10$

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

$x=2, y=5$

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

galben [10]3 years ago

5 0

Answer: 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 :

$3x+2iy=6+10i~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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

$3x=6\\\\\Rightarrow x=\dfrac{6}{3}\\\\\Rightarrow x=2$

and

$2y=10\\\\\Rightarrow y=\dfrac{10}{2}\\\\\Rightarrow y=5.$

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

You might be interested in

Need help with cross multiplying

saw5 [17]

So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!

4 0

3 years ago

Measure Math | Welcome, HAILEE KNOTT

grandymaker [24]

Answer: $15\times\frac{1}{2}$