Question 1 :
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.

Question 2 :
Solve the following pair of linear equations by the substitution method : $3x – y = 3 ; 9x - 3y = 9$

Question 3 :
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.

Question 5 :
A pair of linear equations which has no solution, is called an __________________ pair of linear equations.

Question 6 :
Find out whether the lines representing a pair of linear equations are consistent or inconsistent: $x – y = 8 , 3x – 3y = 16$

Question 7 :
Solve the following pair of linear equations: $\frac{x}{a} - \frac{y}{b} = 0 ; ax + by = a^2 + b^2$

Question 8 :
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.

Question 9 :
A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

Question 10 :
A fraction becomes $\frac{1}{3}$ when 1 is subtracted from the numerator and it becomes $\frac{1}{4}$ when 8 is added to its denominator. Find the fraction.