Advertisements
Advertisements
प्रश्न
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Advertisements
उत्तर
6x + 3y = 7xy
3x + 9y = 11xy
Dividing both sides of each equation by xy, we get,
`(6)/y + (3)/x` = 7 .........(1)
`(3)/y + (9)/x` = 11 .........(2)
Multiplying (2) by 2,
`(6)/y + (18)/x` = 22 ...........(3)
Subtracting (1) from (3), we get,
`(15)/x` = 15
⇒ x = 1
∴ `(3)/y + 9` = 11
⇒ `(3)/y` = 11 - 9 = 2
⇒ y = `(3)/(2)`
Thus, the solution set is `(1, 3/2)`.
APPEARS IN
संबंधित प्रश्न
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13 + 2y = 9x
3y = 7x
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147
The value of expression mx - ny is 3 when x = 5 and y = 6. And its value is 8 when x = 6 and y = 5. Find the values of m and n.
Solve :
11(x - 5) + 10(y - 2) + 54 = 0
7(2x - 1) + 9(3y - 1) = 25
Solve the following simultaneous equations :
3(2u + v) = 7uv
3(u + 3v) = 11uv
If the following three equations hold simultaneously for x and y, find the value of 'm'.
2x + 3y + 6 = 0
4x - 3y - 8 = 0
x + my - 1 = 0
In a two-digit number, the sum of the digits is 7. The difference of the number obtained by reversing the digits and the number itself is 9. Find the number.
Seven more than a 2-digit number is equal to two less than the number obtained by reversing the digits. The sum of the digits is 5. Find the number.
The present ages of Kapil and Karuna are in the ratio 2 : 3. Six years later, the ratio will be 5 : 7. Find their present ages.
