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]
2 years ago
8

2/x + 3/y = 13 ; 5/x - 4/y = -2​

Mathematics
1 answer:
Tomtit [17]2 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
Simplify the expression: -7d+5(10d+-6)
Alexandra [31]

Answer:

-7d+50d+-30= 43d+-30

  1. Use distributive property when there is parentheses and a number infront.
  2. combine like terms. ONLY if they have the same variable.
  3. then just put them in an expression.
3 0
3 years ago
Kyle ran 200 yard in 40 sec. How many feet could she ran each sec ?
Ghella [55]
5 feet a second. and now i am just saying things because this website has to make me have 20 words
8 0
3 years ago
Kendra was given this system of equations.
iren2701 [21]

Answer:

c

Step-by-step explanation:

hope u enjoy

4 0
2 years ago
6. What does |-9| equal?
hichkok12 [17]

The absolute value makes it 9

7 0
3 years ago
Read 2 more answers
Dylan has a 32-ounce coffee.He drinks 4 ounces. What is the percentage of ounces left of his coffee?
Semenov [28]

32 \div 100 = 3.125 \\  \\ 3.125 \times 4 = 12.5 \\  \\ 100 - 12.5 = 87.5 \\  \\ 87.5
8 0
3 years ago
Other questions:
  • Please solve -4(x+10) is greater than or equal to -7x + 65
    13·1 answer
  • What is the value of x?<br><br> A. 124<br> B. 112<br> C. 68<br> D. 62
    8·2 answers
  • Hellpppp me please !!!!!
    7·1 answer
  • Through: (2,0), parallel to y=1/3x+3
    11·1 answer
  • What is 10 1/7 / 8 7/8 equal
    14·1 answer
  • A method of estimating the number of people participating in a march is to assign someone to a spot on the sidewalk with the job
    8·1 answer
  • I couldn't figure this one out​
    12·1 answer
  • What is 9+10 plz show work <br> the right one will get brainly
    11·1 answer
  • What is the solution of the system? Use any method.
    5·2 answers
  • 1) Katie baked 215 cookies that she wants to divide equally among her 32 classmates. How many whole cookies will each student ge
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!