**Chapter 5 - Linear Equations in Two Variables**

**Time - 45 Minutes**

**Marks - 20**

**1. All the questions are compulsory. **

2. Read the question paper carefully.

3. Marks are included against each question.

2. Read the question paper carefully.

3. Marks are included against each question.

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

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

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

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**b. Solve the following equations.**

**(i) m + 3 = 5**

**(ii) 3y + 8 = 22**

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

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

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

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**Q2. ****Solve the following. 5 marks**

**Q2.**

**Solve the following. 5 marks**

**a. Solve the following simultaneous equation by elimination method:**

**x + y = 11 ; 2x – 3y = 7**

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**b. Solve the following simultaneous equation by elimination method:**

**3x – 4y = 7; 5x + 2y = 3**

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

**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**

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

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

**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.**

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**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.**