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

Factorise using the grouping method :
x (6x - 5y) - 4 (6x - 5y)²

Solve:

`9/x - 4/y = 8`

`13/x + 7/y = 101`

Solve the pairs of equations :
`3/x + 2/y = 10`

`9/x - 7/y = 10.5`

Solve :
5x + `8/y` = 19

3x - `4/y` = 7

Solve :
4x + `6/y` = 15 and 3x - `4/y` = 7. Hence, find a if y = ax - 2.

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

Solve :
`20/[ x + y ] + 3/[ x - y ] = 7`

`8/[ x - y ] - 15/[ x + y ] = 5`

Solve : 
`34/[ 3x + 4y ] + 15/[ 3x - 2y ] = 5`

`25/[ 3x - 2y ] - 8.50/[ 3x + 4y ] = 4.5`

Solve:

x + y = 2xy

x - y = 6xy

Solve :
x+ y = 7xy
2x - 3y = - xy

Solve :
`a/x - b/y = 0`

`(ab^2)/x + (a^2b)/y = a^2 + b^2`

Solve : 
`[2xy]/[ x + y ] = 3/2`

`[xy]/[ 2x - y ] = -3/10`
x + y ≠ 0 and 2x - y ≠ 0 

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

`3/(4x) + 1/(2y) = -1/8`

Solve for x : 2^2x+1 = 8

Solve for x : 2^5x-1 = 4 2^{3x + 1}

Solve for x:

`3^(4x  +  1) = (27)^(x  +  1)`

Solve for x : (49)^{x + 4} = 7² x (343)^{x + 1}

Find x, if : 4^2x = `1/32`

Find x, if : `sqrt( 2^( x + 3 )) = 16`

Find x, if : `( sqrt(3/5))^( x + 1) = 125/27`