Q1. Solve the following.   (Any 4)  8 marks

a. Write five solutions of the equation x + y = 5

b. Solve the following equations.

(i) m + 3 = 5

(ii) 3y + 8 = 22

c. Which number should be added to 5 to obtain 14 ?

d. Express in equations: Sum of two numbers is 42 and their difference is 16.

e. Is  (2, -1) the solution of the equation: 3x + y = 5 ? Verify

Q2. Solve the following.    5 marks

a. Solve the following simultaneous equation by elimination method:

x + y = 11 ; 2x – 3y = 7

b. Solve the following simultaneous equation by elimination method:

3x – 4y = 7; 5x + 2y = 3

Q3. Solve the following.   (Any 1)  3 marks

a. \(\large \frac {x}{3}\) + \(\large \frac {y}{4}\) = 4 ; \(\large \frac {x}{2}\) – \(\large \frac {y}{4}\) = 1

b. \(\large \frac {x}{3}\) + 5y = 13 ; 2x + \(\large \frac {y}{2}\) = 19

Q4. Solve the following.   (Any 1)  4 marks

a. The total cost of 8 books and 5 pens is 420 rupees and the total cost of 5 books and 8 pens is 321 rupees. Find the cost of 1 book and 1 pen.

b. The denominator of a fraction is 1 less than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 3 : 5. Find the fraction.