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

Solve the following simultaneous equations:
13a - 11b = 70
11a - 13b = 74

Solve the following simultaneous equations:
41x + 53y = 135
53x + 41y = 147

Solve the following simultaneous equations:
65x - 33y = 97
33x - 65y = 1

Solve the following simultaneous equations:
103a + 51b = 617
97a + 49b = 583

Solve the following pairs of equations:

`(3)/(5) x - (2)/(3) y + 1` = 0

`(1)/(3) y + (2)/(5) x ` = 4

Solve the following pairs of equations:

`x/(3) + y/(4)` = 11

`(5x)/(6) - y/(3)` = -7

Solve the following pairs of equations:

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

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

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.