(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Solve the following pairs of equations:

`(3)/x - (1)/y` = -9

`(2)/x + (3)/y` = 5

Solve the following pairs of equations:
y - x = 0.8

`(13)/(2(x + y)) = 1`

Solve the following pairs of equations:

`(2)/x + (3)/y = (9)/(xy)`

`(4)/x + (9)/y = (21)/(xy)`
Where x ≠ 0, y ≠ 0

Solve the following pairs of equations:

`(x + y)/(xy)` = 2

`(x - y)/(xy)` = 6

Solve the following pairs of equations:

`(2)/(x + 1) - (1)/(y - 1) = (1)/(2)`

`(1)/(x + 1) + (2)/(y - 1) = (5)/(2)`

Solve the following pairs of equations:

`(5)/(x + y) - (2)/(x - y)` = -1

`(15)/(x + y) + (7)/(x - y)` = 10.

Solve the following pairs of equations:

`(2)/(3x + 2y) + (3)/(3x - 2y) = (17)/(5)`

`(5)/(3x + 2y) + (1)/(3x - 2y)` = 2

Solve the following pairs of equations:

`(xy)/(x + y) = (6)/(5)`

`(xy)/(y - x)` = 6
Where x + y ≠ 0 and y - x ≠ 0

If 2x + y = 23 and 4x - y = 19 :  find the value of x - 3y and 5y - 2x.

If 10y = 7x - 4 and 12x + 18y = 1 ; find the value of 4x + 6y and 8y - x.

`4x + 6/y = 15 and 6x - 8/y = 14.` Hence, find a if y = ax - 2.

`(3)/x - (2)/y` = 0 and `(2)/x + (5)/y` = 19, Hence, find a if y = ax + 3.

Can the following equations hold simultaneously?
7y - 3x = 7
5y - 11x = 87
5x + 4y = 43
If yes, find the value of x and y.

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

The length of a rectangle is twice its width. If its perimeter is 30 units, find its dimensions.

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.

The sum of a two-digit number and the number obtained by reversing the digits is 110 and the difference of two digits is 2. 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.

If 2 is added to the numerator and denominator it becomes `(9)/(10)` and if 3 is subtracted from the numerator and denominator it becomes `(4)/(5) `Find the fraction.

The ratio of two numbers is `(2)/(5)`. If 4 is added in first and 32 is subtracted from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.