The price of a notebook is Rs 10 more than twice the price of a pencil. Write this statement as a linear equation in two variables.

: If x = -1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k

If the equation 5x - 2y = m has a solution at (2, 3), find the value of m.

Find the value of λ, if x = –λ and y = 5/2 is a solution of the equation x + 4y - 7 = 0

Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km by rickshaw and the remaining distance by bus. On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus

Ravi travels 20 km to his office partly by train and partly by bus. He takes 40 minutes if he travels 5 km by train and the remaining distance by bus. If he travels 10 km by train and the remaining distance by bus, he takes 10 minutes longer. Find the speed of the train and of the bus.

A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500km away in time, it had to increase its speed by 100km/h from the usual speed. Find its usual speed

A train departs 20 minutes late and to arrive at its destination 600 km away on time, it must increase its speed by 50 km/h. What is its usual speed?

Assertion: The graph of the linear equations 3x+2y=12 and 5x-2y=4 gives a pair of intersecting lines.
Reason: The graph of linear equations a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0 gives a pair of intersecting lines if a₁/a₂ ≠ b₁/b₂