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marishachu [46]
2 years ago
7

May I know the values of x and y of the following equation?(5-3i)(x-yi) = 3(x+2yi)+1-2i​

Mathematics
1 answer:
gogolik [260]2 years ago
3 0

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

<h3>simplify</h3>

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

<h3>equate real, imaginary parts</h3>

This resolves to the two equations ...

  • 5x -3y = 3x +1
  • -5y -3x = 6y -2
<h3>solve the system</h3>

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

brainly.com/question/26397343

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tankabanditka [31]

Answer:

2520

Step-by-step explanation:

LCM(4, 7, 8, 9, 10, 12) = 2520

5 0
2 years ago
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File attached <br> Please help
Lubov Fominskaja [6]

Answer:

the answer is C, 369

Step-by-step explanation:

1. divide 800 by 40 which will give you 20

2. then multiply 18 by 20

3. answer is 360

the reason I did this was because if you had multiplied math, physics and chemistry by 20 it would have given you the total of 800 trials

3 0
3 years ago
HELP I NEED HELP ASAP
ValentinkaMS [17]
Answer: B

Explanation:
We can substitute burgers for m and drinks for p, since all burgers are the same price and drinks are the same price, substitute the 3 burgers and 2 drinks into
3m+2p
The only right answer for this equation is $13.50, substitute the 5m+4p=$23.50 and your only right answer is B
4 0
2 years ago
18 points help me fast please
Phantasy [73]
The answer is d positive
4 0
2 years ago
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of
Lubov Fominskaja [6]

length = 8ft
height = 4 in
width = w ft --> u looking for this

convert in to ft for the height:

4 in (1 ft / 12 in) = 1/3 ft

You know that:
1 cubic yard = $ 98
? cubic yard = $58.07

Solve for ? cubic yard:
? cubic yard = 58.07/98 = 0.592551

convert this in cubic feet:
1 yard = 3 feet
0.59255 cubic yard (27 cubic ft/1 cubic yard) = 15.99887755 cubic ft

Now solve for the width:
length x width x height = ? cubic ft.
width = ? cubic ft / (length x height) =15.99887755 cubic ft/[(8ft)(1/3 ft )] = 5.999579082 ft

approx 6 ft
4 0
3 years ago
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