English Medium इयत्ता १० - CBSE Question Bank Solutions

Solve each of the following systems of equations by the method of cross-multiplication 

2x − y = 6
x − y = 2

Solve the following system of equations by the method of cross-multiplication:

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

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

Solve the following system of equations by the method of cross-multiplication:

ax + by = a – b

bx – ay = a + b

Solve each of the following systems of equations by the method of cross-multiplication 

x + ay = b
ax − by = c

Solve the following system of equations by the method of cross-multiplication:

ax + by = a²
bx + ay = b²

Solve each of the following systems of equations by the method of cross-multiplication 

`x/a + y/b = 2`

`ax - by = a^2 - b^2`

Solve each of the following systems of equations by the method of cross-multiplication 

`x/a + y/b = a + b`

Solve each of the following systems of equations by the method of cross-multiplication 

`x/a = y/b`

`ax + by = a^2 + b^2`

Solve each of the following systems of equations by the method of cross-multiplication :

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

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

where `x != 0 and y != 0`

Solve each of the following systems of equations by the method of cross-multiplication :

`2/x + 3/y = 13`

`5/4 - 4/y = -2`

where `x != 0 and y != 0`

Solve the following system of equations by the method of cross-multiplication:

`ax + by = (a + b)/2`

3x + 5y = 4

Solve each of the following systems of equations by the method of cross-multiplication :

2ax + 3by = a + 2b
3ax + 2by = 2a + b

Solve the following system of equations by the method of cross-multiplication:

5ax + 6by = 28

3ax + 4by = 18

Solve the following system of equations by the method of cross-multiplication:

(a + 2b)x + (2a – b)y = 2

(a – 2b)x + (2a + b)y = 3

Solve each of the following systems of equations by the method of cross-multiplication :

`x(a - b + (ab)/(a -  b)) = y(a + b - (ab)/(a + b))`

`x + y = 2a^2`

Solve the following system of equations by the method of cross-multiplication:

bx + cy = a + b

`ax(1/(a - b) - 1/(a + b)) + cy(1/(b - a) - 1/(b + a)) = (2a)/(a + b)`

Solve the following system of equations by the method of cross-multiplication:

`(a - b)x + (a + b)y = 2a^2 - 2b^2`

(a + b)(x + y) = 4ab

Solve each of the following systems of equations by the method of cross-multiplication 

`a^2x + b^2y = c^2`

`b^2x + a^2y = d^2`

Solve the following system of equations by the method of cross-multiplication:

`57/(x + y) + 6/(x - y) = 5`

`38/(x + y) + 21/(x - y) = 9`

Solve the following system of equations by the method of cross-multiplication:

2(ax – by) + a + 4b = 0

2(bx + ay) + b – 4a = 0