Advertisements
Advertisements
प्रश्न
If `2 /x + 3/y = 9/(xy) and 4/x + 9/y = 21/(xy)` find the values of x and y.
उत्तर
The given pair of equation is
`2/x + 3/y = 9/ (xy)` ………(i)
` 4/x + 9/y = 21/(xy)` ………(ii)
Multiplying (i) and (ii) by xy, we have
3x + 2y = 9 ……….(iii)
9x + 4y = 21 ………(iv)
Now, multiplying (iii) by 2 and subtracting from (iv), we get
9x – 6x = 21 – 18 ⇒ x = `3/3`= 1
Putting x = 1 in (iii), we have
3 × 1 + 2y = 9 ⇒ y = `(9−3)/2`= 3
Hence, x = 1 and y = 3.
APPEARS IN
संबंधित प्रश्न
In the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:
3x - 5y = 20
6x - 10y = 40
Find the value of k for which the following system of equations has a unique solution:
4x - 5y = k
2x - 3y = 12
Solve for x and y:
`2/(3x+2y) + 3/(3x−2y) = 17/5, 5/(3x+2y) + 1/(3x−2y) = 2`
Solve for x and y:
px + qy = p – q,
qx – py = p + q
Find the value of k for which the system of equations has a unique solution:
5x – 7y = 5,
2x + ky = 1.
A two-digit number is such that the product of its digits is 35. If 18 is added to the number, the digits interchange their places. Find the number.
Abdul travelled 300 km by train and 200 km by taxi taking 5 hours and 30 minutes. But, if he travels 260km by train and 240km by taxi, he takes 6 minutes longer. Find the speed of the train and that of taxi.
A sailor goes 8 km downstream in 420 minutes and returns in 1 hour. Find the speed of the sailor in still water and the speed of the current .
A railway half ticket costs half the full fare and the reservation charge is the some on half ticket as on full ticket. One reserved first class ticket from Mumbai to Delhi costs ₹4150 while one full and one half reserved first class ticket cost ₹ 6255. What is the basic first class full fare and what is the reservation charge?
If 15x + 17y = 21 and 17x + 15y = 11, then find the value of x + y.
