NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2

Ex 3.2 Class 10 Maths Question 1.

Form the pair of linear equations of the following problems and find their solutions graphically:
(i) 10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
(ii) 5 pencils and 7 pens together cost Rs.50, whereas 7 pencils and 5 pens together cost Rs.46. Find the cost of one pencil and that of one pen.

Ex 3.2 Class 10 Maths Question 2. (i) 5x – 4y + 8 = 0, 7x + 6y – 9 = 0(ii) 9x + 3y + 12 = 0, 18x + 6y + 24 = 0(iii) 6x – 3y + 10 = 0, 2x -y + 9 = 0 Solution for Ex 3.2 Class 10 Maths Question 2

Ex 3.2 Class 10 Maths Question 4.

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically.
(i) x + y = 5, 2x + 2y = 10
(ii) x-y – 8, 3x – 3y = 16
(iii) 2x + y – 6 = 0, 4x – 2y – 4 = 0
(iv) 2x – 2y – 2 = 0, 4x – 4y – 5 = 0

Ex 3.2 Class 10 Maths Question 5.

Half the perimeter of a rectangular garden, whose length is 4 m more than its width is 36 m. Find the dimensions of the garden graphically.

Ex 3.2 Class 10 Maths Question 6.

Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) intersecting lines
(ii) parallel lines
(iii) coincident lines