Pair of Linear Equations in Two Variables Class 10 Extra Questions Maths Chapter 3

                                                             BY KRISHAN KUMAR

Q1. Represent the following situation into a linear pair of equations:

Ritika bought some pencils and pens at two different times. At first, she bought 3 pencils and 2 pens for ₹ 30 and at then she bought 5 pencils and 6 pens for ₹ 82.

Q2. Rakshita has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs.1 andRs.2 coins is, respectively

 Q3.A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Reema paid Rs. 22 for a book kept for six days, while Ruchika paid Rs 16 for the book kept for four days, then the charge for each extra day is:

Q3.The boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of stream and that of the boat in still water..

Q4.8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by one man alone and that by one boy alone to finish the work.

Q5.Solve for x and y
       x + 2y – 3= 0
       3x – 2y + 7 = 0

Q6..4 chairs and 3 tables cost ? 2100 and 5 chairs and 2 tables cost ? 1750. Find the cost of one chair and one table separately

Q7.Solve for x andy:

        2x= 5y + 4;
        3x-2y + 16 = 0

Q8.Solve for x andy:

Q9.Solve the following system of linear equations graphically.

           3x + y – 12 = 0;
            x – 3y + 6 = 0

Q10.At a certain time in a zoo, the number of heads and the number of legs of tiger and peacocks were counted and it was found that there were 47 heads and 152 legs. Find the number of tigers and peacocks in the zoo:

Why it is necessary to conserve these animals?

Q11.Solve: 99x + lOly = 499
                  1Olx + 99y = 501

Q12.Solve the following pair of equations:

Q13.Write whether the following pair of linear equations is consistent or not

       x +y = 14,
       x-y = 4

Q14.Without drawing the graph, find out the lines representing the following pair of linear equations intersect at a point, are parallel or coincident.

Q15.Solve the following system of equations forx andy

Q16.Solve the following pair of equations

Q17.Solving Systems of Equations by Elimination

1) −4x − 2y = −12

       4x + 8y = −24             ans (6, −6)

2) 4x + 8y = 20

   −4x + 2y = −30              ans  (7,-1)

3) x − y = 11 

   2x + y = 19                    ans   (10, −1) 4) 

4) −6x + 5y = 1 

     6x + 4y = −10               ans  (−1, −1)

5) −2x − 9y = −25 

    −4x − 9y = −23             ans    (−1, 3) 

6) 8x + y = −16 

   −3x + y = −5                  ans (−1, −8) 

7) −6x + 6y = 6 

   −6x + 3y = −12             ans   (5, 6)

8) 7x + 2y = 24

     8x + 2y = 30                ans (6, −9)

9) 5x + y = 9 

    10x − 7y = −18              ans (1, 4)

10) −4x + 9y = 9

      x − 3y = −6                 ans  (9, 5)

11) −3x + 7y = −16 

     −9x + 5y = 16             ans  (−4, −4)

12).−7x + y = −19 

      −2x + 3y = −19          ans   ( 2, −5)

13).16x − 10y = 10 

       −8x − 6y = 6             ans  (0, −1)

14) 8x + 14y = 4

     −6x − 7y = −10              ans (4, −2)

15). −4x − 15y = −17

       −x + 5y = −13              ans(8, −1)

Solve the Systems of Equations by the Substitution Method

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

maths is not difficult subject it became easy if you practice.