(1) Form the pair of linear equations in 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.

(2) On comparing the ratios a₁/a₂, b₁/b₂, c₁/c₂, find out
whether the lines representing the following pairs of linear equations
intersect at a point, are parallel or coincident.

(6) Given the linear equation 2 x + 3 y - 8 = 0,write another linear equation in two variables such that the geometrical representation of the pair so formed is:

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