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

Factorise:

`y^2 + (1)/(4y^2) + 1 - 6y - (3)/y`

Factorise:

`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`

Factorise:
x⁴ + y⁴ - 6x²y²

Factorise:
4x⁴ + 25y⁴ + 19x²y²

Factorise:

`"p"^2 + (1)/"p"^2 - 3`

Factorise:
5x² - y² - 4xy + 3x - 3y

Solve the following simultaneous equations by the substitution method:
2x + y = 8
3y = 3 + 4x

Solve the following simultaneous equations by the substitution method:
x + 3y= 5
7x - 8y = 6

Solve the following simultaneous equations by the substitution method:
5x + 4y - 23 = 0
x + 9 = 6y

Solve the following simultaneous equations by the substitution method:
2x + 3y = 31
5x - 4 = 3y

Solve the following simultaneous equations by the substitution method:
7x - 3y = 31
9x - 5y = 41

Solve the following simultaneous equations by the substitution method:
13 + 2y = 9x
3y = 7x

Solve the following simultaneous equations by the substitution method:
0.5x + 0.7y = 0.74
0.3x + 0.5y = 0.5

Solve the following simultaneous equations by the substitution method:
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8

Solve the following simultaneous equations by the substitution method:
3 - (x + 5) = y + 2
2(x + y) = 10 + 2y

Solve the following simultaneous equations by the substitution method:
7(y + 3) - 2(x + 2) = 14
4(y - 2) + 3(x - 3) = 2

Solve the following pairs of equations:

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

`(1)/(2(x + y)) = (1)/(3( x - y)`
Where x + y ≠ 0 and x - y ≠ 0

The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.

If a number is thrice the other and their sum is 68, find the numbers.

The sum of four times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers.