Simultaneous Equations in Two Variables

Q. If the point (k, -3 ) lies on the line 3x + 2y = 9, then the value of k is ______

1. 4
2. 5
3. 3
4. 2

Q. A bus covers a certain distance with uniform speed. If the speed of the bus would have been increased by 15 km/h, it would have taken two hours less to cover the same distance. And if the speed of the bus would have been decreased by 5 km/h, it would have taken one hour more to cover the same distance. Find the distance kilometres covered by the bus.

1. 600
2. 350
3. 300
4. 360

Q. Arrange the steps of solving for the equation $2(2x+5)-7=11$

1. $2(2x+5)=18$
2. $(2x+5)=9$
3. $2x=4$
4. $x=2$

Q. 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 the bus in km/hr respectively.

1. 10 km/hr, 30 km/hr
2. 10 km/hr, 40 km/hr
3. 30 km/hr, 10 km/hr
4. 40 km/hr, 10 km/hr

Q. One of the points that satisfy the given graph is $(0,0)$.

1. True
2. False

Q. If the point (k, -3) lies on the line 3x + 2y = 9, then find the value of k.
[2 Marks]

Q. The graph of the equation will pass through the points (-2, 2) and (0, 0).

1. $2x-y=0$
2. $y-x=0$
3. $x+y=0$