Form the pair of linear equations In the following problems and find their solutions (if they exist) by any algebraic method. :- The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 units. Find the dimensions of the rectangle.

From the pair of linear equations in the following problems, find their solutions (if they exist) by any algebraic method : The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The area of a rectangle gets reduced by 80 sq. units if its length is reduced by 5 units and the breadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units, the area is increased by 50 sq. units. Find the length and breadth of rectangle.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The area of a rectangle is reduced by 9 sq. metres if its length is reduced by 5 metres and the breadth is increased by 3 metres. If we increase the length by 3 units and the breadth by 2 units, area increases by 67 square units. Find the length and breadth of the rectangle.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- If in a rectangle, the length is increased and breadth is reduced by 2 units each, the area is reduced by 28 square units. If the length is reduced by 1 unit and breadth is increased by 2 units, the area is increased by 33 sq. units. Find the dimension of the rectangle.

The SI unit of length is-

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :-The sum of numerator and denominator of a fraction is 4 more than twice the numerator. If' the numerator and denominator are increased by 3, they are in the ratio 2:3. Find the fraction.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- for which value of k the following linear pair of equations have no solution ? 3x + y=1 and (2k-1)x+(k- 1)y= 2k+1.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : If the numerator is multiplied by 2 and denominator is reduced by 5, the fraction becomes 6/5 and if the denominator is doubled and the numerator is increased by 8, the fraction becomes 2/5 . Find the fraction