Question

Find the value of c for which the following pair of linear equations has infinitely many solutions : cx + 3y = c – 3 12x + cy = c

Solve for x and y : 3x + 2y = 65 2x + 3y = 60

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.

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.