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
Dvinal [7]
3 years ago
8

2/x + 3/y = 13 ; 5/x - 4/y = -2​

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

You might be interested in
F (x)=3×+1 solve for f (×)
makkiz [27]
 f(x)=<span>3x. </span>Solution: If we take ln in both side of this equation and differentiate it, we get lnf(x)=ln3x. ∴ lnf(x<span>) = xln </span>3. ∴ d dx. (lnf(x<span>)) = d dx. (xln </span>3<span>).</span>
5 0
3 years ago
Use the binomial theorem to expand the binomial (x + -2y)8.
m_a_m_a [10]

Answer:

256x8y8256+2x8y8+56x3y7+28x7y2+126x5y4+x8+1048x7y+1932x6y2+2240x5y3+2310x4y4+2296x3y5+1932x2y6+1048xy7+y8+8x6y+56xy3+28x2y+8xy

Step-by-step explanation:

3 0
4 years ago
Select the correct answer from each drop-down menu. The graphs below show the number of faulty products, y, produced by a compan
BARSIC [14]

Answer:

whats the answers available?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many significant digits are there in the number 5.0500? A. 3 B. 4 C. 5 D. 6
bixtya [17]

Answer:

C

Step-by-step explanation:

1)Non- zeros (1,2,3,....) are always significant.

2)Captive zeros are significant too( zeros between non- zeros ).

3)Trailing zeros (zeros at the end) aren't significant always unless if there is a decimal point.

Such this question we have decimal point so we count them

8 0
3 years ago
40 points please help
Flauer [41]

The athlete that has the shortest training ride is athlete A.

The athlete that has the shorter range is Athlete B.

The athlete that has the greater median is Athlete B.

The athlete that has the greater IQR is  athlete A.

<h3>What are the summary statistics?</h3>

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.

Range of Athlete A = 36 - 13 = 13

Range of Athlete B = 30 - 19 = 11

Training ride of  Athlete A = 16

Training ride of  Athlete B = 21

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Median of  Athlete A = 20

Median of  Athlete B = 25

IQR of  Athlete A = 30 - 16 = 14

IQR of  Athlete B = 28 - 21 = 7

To learn more about box plots, please check: brainly.com/question/27215146

#SPJ1

6 0
2 years ago
Other questions:
  • Dunno wat the answer is
    10·1 answer
  • There are over 2,700 species of snakes .600 species are venomous .what would the fraction of species that are not venomous be as
    15·1 answer
  • What is 5/8 divided by 1/4 ?
    11·2 answers
  • How do I solve for r b=1/6Rw
    15·1 answer
  • What is the square root of -6.76
    11·2 answers
  • What divided by 40.01 is close to 1
    6·2 answers
  • What are the factor of 44 and 66​
    13·2 answers
  • Nike marks up the original cost of all of the shoes they sell by 30%. Andre wants to buy a pair of shoes that has a price tag of
    6·1 answer
  • utorial Exercise A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m3/min. How fast is the height of
    5·1 answer
  • I need help please I don’t know what to it is due today
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!