NCERT Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 2: Exercise 3.2

Form the pair of linear equations in the following problem and find their solution graphically.

$10$ 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.

Form the pair of linear equations in the following problems and find their solutions graphically.

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:

$x+\mathrm{y}=5;$ $2x+2y=10$

Is the following pair of linear equation consistent / inconsistent? If consistent, obtain the solution graphically.

$2x+y-6=0,$ $4x-2y-4=0$

Half the perimeter of a rectangular garden, whose length is $4\mathrm{m}$ more than its width, is $36\mathrm{m}$. Find the dimensions of the garden.

Draw the graphs of the equations $x-y+1=0$ and $3x+2y-12=0$. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.