# 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