Advertisements
Advertisements
प्रश्न
Find the solution of the pair of the equation :
`3/x + 8/y = - 1; 1/x - 2/y = 2`, x, y ≠ 0
उत्तर
The given equations are
`3/x + 8/y = - 1` ...(1)
`1/x - 2/y = 2` ...(2)
Let `1/x = u and 1/y = v`
(1) and (2) will become
3u + 8v = -1 ...(3)
u - 2v = 2 ...(4)
Multiply (4) with 4
4u - 8v = 8 ...(5)
Adding (3) and (5) we get
7u = 7
⇒ u = 1
Putting this value in (4)
1 - 2v = 2
⇒ v = `(-1)/2`
Now
`1/x = u`
⇒ `1/x = 1`
⇒ x = 1
And
`1/y = v`
⇒ `1/y = (-1)/2`
⇒ y = - 2
संबंधित प्रश्न
The difference of two natural numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers
Solve the following pair of linear equations by the substitution method.
`(3x)/2 - (5y)/3 = -2`
`x/y+y/2 = 13/6`
Form the pair of linear equations for the following problem and find their solution by substitution method.
The coach of a cricket team buys 7 bats and 6 balls for ₹ 3800. Later, she buys 3 bats and 5 balls for ₹ 1750. Find the cost of each bat and each ball.
Solve the following systems of equations:
`3/x - 1/y = -9`
`2/x + 3/y = 5`
Solve the following systems of equations:
`22/(x + y) + 15/(x - y) = 5`
`55/(x + y) + 45/(x - y) = 14`
Solve the following systems of equations:
`5/(x - 1) + 1/(y - 2) = 2`
Solve the following systems of equations:
152x − 378y = −74
−378x + 152y = −604
5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of
1 pen and 1 pencil.
A and B each have a certain number of mangoes. A says to B, “if you give 30 of your mangoes, I will have twice as many as left with you.” B replies, “if you give me 10, I will have thrice as many as left with you.” How many mangoes does each have?
Two numbers are in the ratio 5 : 6. If 8 is subtracted from the numbers, the ratio becomes 4 : 5. Find the numbers.
