# Class 10 – Pair of Linear Equations in Two Variables – Previous Years Questions

Previous Years Questions Important Questions**Pair of Linear Equations in Two Variables – Previous Years Questions**

- The pair of linear equations y = 0 and y = -6 has
- a unique solution
- no solution
- infinitely many solution
- only solution (0,0)
**[CBSE 2020] [1 Mark]**

- Solve the following pair of linear equations:

3x – 5y = 4

2y + 7 = 9x**[CBSE 2019] [2 Marks]** - Solve the following pair of linear equations:

3x + 4y = 10

2x – 2y = 2**[CBSE 2019] [2 Marks]** - In figure ABCD is a rectangle. Find the value of X and Y.

**[CBSE 2018] [2 Marks]** - Solve the pair of equations:

2/x + 3/y = 11, 5/x – 4/y = -7

Hence, find the value of 5x – 3y.**[CBSE 2020] [3 Marks]** - Taxi charges in a city consist of fixed charges and the remaining charges depend upon the distance travelled. For a journey of 10 km, the charge paid is Rs 75 and for a journey of 15 km, the charge paid is Rs 110. Find the fixed charge and charges per km. Hence, find the charge of covering a distance of 35 km.
**[CBSE 2020] [3 Marks]** - Draw the graph of the equations x – y = 1 and 3x + 2y – 12 = 0. Using this graph, find the values of x and y which satisfy booth the equations.
**[CBSE 2019] [3 Marks]** - Two numbers are in the ratio of 5:6. If 7 is subtracted from each of the numbers, the ratio becomes 4:5. Find the numbers.
**[CBSE 2019] [3 Marks]**

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