1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Xelga [282]
2 years ago
7

Solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3​

Mathematics
1 answer:
maria [59]2 years ago
6 0

Answer:

  (x, y) = (1/2, -1)

Step-by-step explanation:

Subtracting twice the first equation from the second gives ...

  (2/x +1/y) -2(1/x -5/y) = (3) -2(7)

  11/y = -11 . . . . simplify

  y = -1 . . . . . . . multiply by y/-11

Using the second equation, we can find x:

  2/x +1/-1 = 3

  2/x = 4 . . . . . . . add 1

  x = 1/2 . . . . . . . multiply by x/4

The solution is (x, y) = (1/2, -1).

_____

<em>Additional comment</em>

If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.

A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).

You might be interested in
An astronomy club wants to buy six new eyepieces for their telescope. Four of the lenses cost $53.98 each. Two lenses cost $21 e
snow_lady [41]

Answer:

239.92

Step-by-step explanation:

53.94×4=215.92

Then you do 21×2=24 then you take the 215.92 and the 24 and add them together and it gives you 239.92

7 0
3 years ago
Read 2 more answers
Hello my name is Sam and I have some homework that is due today, how is g 125 degrees? You will get a guaranteed brainliest if y
VLD [36.1K]
Hi sam, do you want to know the answer? Try using a protractor, you will see the degree is 125, its like a obtuse angle
7 0
2 years ago
Which sentence is a example of the distributive property ? AND WHY!!!?
katrin [286]

Answer:

answer is C

Step-by-step explanation:

Because it gives clear distribution process.

5 0
3 years ago
Read 2 more answers
A grocery store manager received two shipments of oranges. According to the distributor of the oranges, the oranges in both ship
Volgvan
The answer is
 <span>The two shipments have the same range of weights but a different mean weight.
Hope i helped </span>
7 0
2 years ago
Read 2 more answers
Pls awnser these i dont understand them, like i beg u
Gekata [30.6K]
It’s not a good idea to beg
4 0
3 years ago
Read 2 more answers
Other questions:
  • BY using eight eights  and addition only can you make 1000?????/
    8·1 answer
  • -2/3 / 1/3? Explain how you got the answer clearly. Thank you.
    13·2 answers
  • What are the domain and range of the function f(x)=3x-1 /2
    12·1 answer
  • Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
    11·1 answer
  • Will GIVE BRAINIEST ANSWER!!!What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?
    12·2 answers
  • A coterminal angle is the positive acute angle formed by the terminal side of Theta and the nearest part of the x-axis
    14·1 answer
  • Sam takes a taxi in Chicago. The taxi charges $0.75 per mile and a flat fee of $1.60. If he has at most 10 dollars
    7·1 answer
  • Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
    11·1 answer
  • Plssss hurryyy
    14·1 answer
  • 2/3+1/12 what's the answer
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!