English Medium कक्षा १० - CBSE Question Bank Solutions

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

6(ax + by) = 3a + 2b

6(bx - ay) = 3b - 2a

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

`a^2/x - b^2/y = 0`

`(a^2b)/x + (b^2a)/y = a + b, x, y != 0`

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

mx – ny = m² + n²

x + y = 2m

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

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

ax – by = 2ab

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

`b/a x + a/b y - (a^2 + b^2) = 0`

x + y - 2ab = 0

Solve the system of equations by using the method of cross multiplication:

x + 2y + 1 = 0, 2x – 3y – 12 = 0

Solve the system of equations by using the method of cross multiplication:

3x – 2y + 3 = 0, 4x + 3y – 47 = 0

Solve the system of equations by using the method of cross multiplication:

6x – 5y – 16 = 0, 7x – 13y + 10 = 0

Solve the system of equations by using the method of cross multiplication:

3x + 2y + 25 = 0, 2x + y + 10 = 0

Solve the system of equations by using the method of cross multiplication:

2x + 5y – 1 = 0, 2x + 3y – 3 = 0

Solve the system of equations by using the method of cross multiplication:

2x + y – 35 = 0, 3x + 4y – 65 = 0

Solve the system of equations by using the method of cross multiplication:
7x - 2y – 3 = 0,
`11x - 3/2 y – 8 = 0.`

Solve the system of equations by using the method of cross multiplication:

`x/6 + y/15 - 4 = 0, x/3 - y/12 - 19/4 = 0`

Solve the system of equations by using the method of cross multiplication:

`1/x + 1/y = 7, 2/x + 3/y = 17`

Solve the system of equations by using the method of cross multiplication:

`5/(x + y) - 2/(x - y) + 1 = 0, 15/(x + y) + 7/(x - y) - 10 = 0`

Solve the system of equations by using the method of cross multiplication:

`(ax)/b - (by)/a - (a + b) = 0, ax - by - 2ab = 0`

Solve the system of equations by using the method of cross multiplication:

2ax + 3by – (a + 2b) = 0, 3ax + 2by – (2a + b) = 0

Solve the system of equations by using the method of cross multiplication:

`a/x - b/y = 0, (ab^2)/x + (a^2b)/y = (a^2 + b^2)`, where x ≠ 0 and y ≠ 0

A father’s age is three times the sum of the ages of his two children. After 5 years his age will be two times the sum of their ages. Find the present age of the father.

The number of solutions of 3^{x + y} = 243 and 243^{x - y} = 3 is ______.