Question Text
Question 2 :
State whether the following pair of linear equations has unique solution, no solution, or infinitely many solutions : $x – 3y – 7 = 0 ; 3x – 3y – 15 = 0$
Question 3 :
The coach of a cricket team buys 7 bats and 6 balls for Rs. 3800. Later, she buys 3 bats and 5 balls for Rs. 1750. Find the cost of each bat and each ball.
Question 4 :
State whether the following pair of linear equations has unique solution, no solution, or infinitely many solutions : $2x + y = 5 ; 3x + 2y = 8$
Question 5 :
Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis.
Question 6 :
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.
Question 7 :
The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is ___________.
Question 8 :
Solve the following pair of equations by reducing them to a pair of linear equations : $\frac{7x-2y}{xy} = 5 ; \frac{8x+7y}{xy} = 15$.
Question 9 :
In a ∆ ABC, ∠ C = 3 ∠ B = 2 (∠A + ∠ B). Find the three angles.
Question 10 :
Solve the following pair of equations by substitution method: $s-7t+42=0 ; s-3t=6$
