Ncert Solutions for Class 10 Mathematics 3: MATRIX Exercise 3.3

Question 1. Solve the following pair of linear equations by the substitution method. (i) x + y = 14 ; x – y = 4 (ii) s – t = 3 ; s/3 + t/2 = 6 (iii) 3x – y = 3 ; 9x – 3y = 9 (iv) 0.2x + 0.3y = 1.3 ; 0.4x + 0.5y = 2.3 (v)√2 x+ √3y = 0 ; √3 x - √8y = 0 (vi)3/2 x - 5/3y = -2 ; x/3 + y/2 = 13/6

Question 2. Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y =mx + 3.

Question 3. Form the pair of linear equations for the following problems and find their solution by substitution method. (i)The difference between two numbers is 26 and one number is three times the other. Find them. (ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. (iii) 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