Lokesh, a production manager in Mumbai, hires a taxi everyday to go to his office. The taxi charges in Mumbai consists of a fixed charges together with the charges for the distance covered. His office is at a distance of 10 km from his home. For a distance of 10 km to his office, Lokesh paid ₹ 105. While coming back home, he took another route. He covered a distance of 15 km and the charges paid by him were ₹ 155.

Solve graphically the following pair of linear equations : 2x – y = 2 and 4x – y = 4 Also, write the coordinates of the points where the lines represented by these equations cut the y-axis.

TextGraphical Representation of Pair of Linear EquationsSubstitution Method for Solving Linear Equations

An academy offering cricket coaching bought 10 bats and 5 balls for ₹ 32,500. Later, the academy bought 2 bats and 8 balls for ₹ 10,000. If there is no change in the cost of the bat and of the ball, find the cost of 1 bat and 1 ball.

TextGraphical Representation of Pair of Linear EquationsSubstitution Method for Solving Linear Equations

A fraction becomes 1/3, when 1 is subtracted from the numerator and it becomes 1/4, when 8 is added to its denominator. Find the fraction.

TextConditions for Infinite Solutions of Linear EquationsSubstitution Method for Solving Linear Equations