## RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4

**Other Exercises**

- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.6
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.8
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.9
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.10
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.11
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables VSAQS
- RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables MCQS

**Solve each of the following systems of equations by the method of cross multiplication.**

**Question 1.**

x + 2y + 1 = 0

2x – 3y – 12 = 0 **(C.B.S.E. 1992)**

**Solution:**

**Question 2.**

3x + 2y + 25 = 0

2x + y + 10 = 0 **(C.B.S.E. 1992)**

**Solution:**

**Question 3.**

2x + y = 35

3x + 4y = 65 **(C.B.S.E. 1993)**

**Solution:**

**Question 4.**

2x – y = 6

x – y = 2 **(C.B.S.E. 1994)**

**Solution:**

**Question 5.**

\(\frac { x+y }{ xy } =2,\quad \frac { x-y }{ xy } =6\)

**Solution:**

**Question 6.**

ax + by = a – b

bx – ay = a + b

**Solution:**

ax + by = a – b

bx – ay = a + b

**Question 7.**

x + ay = b

ax – by = c

**Solution:**

x + ay = b

**Question 8.**

ax + by = a^{2}

bx + ay = b^{2}

**Solution:**

**Question 9.**

**Solution:**

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

**Solution:**

**Question 13.**

\(\frac { x }{ { a } } +\frac { y }{ b } =a+b\)

\(\frac { x }{ { { a }^{ 2 } } } +\frac { y }{ { b }^{ 2 } } =2\)

**Solution:**

**Question 14.**

\(\frac { x }{ { { a } } } =\frac { y }{ { b } }\)

ax + by = a^{2} + b^{2}

**Solution:**

**Question 15.**

2ax + 3by = a + 2b

3ax + 2by = 2a + b

**Solution:**

**Question 16.**

5ax + 6by = 28

3ax + 4by = 18

**Solution:**

**Question 17.**

(a + 2b) x + (2a – b) y = 2

(a – 2b) x + (2a + b) y = 3

**Solution:**

**Question 18.**

**Solution:**

**Question 19.**

**Solution:**

**Question 20.**

(a – b) x + (a + b) y = 2a^{2} – 2b^{2}

(a + b) (x + y) = 4ab

**Solution:**

**Question 21.**

a^{2}x + b^{2}y = c^{2}

b^{2}x + a^{2}y = d^{2}

**Solution:**

**Question 22.**

ax + by = \(\frac { a + b }{ 2 }\)

3x + 5y = 4

**Solution:**

Hence x = \(\frac { 1 }{ 2 }\) , y = \(\frac { 1 }{ 2 }\)

**Question 23.**

2 (ax – by) + a + 4b = 0

2 (bx + ay) + b – 4a = 0 **(C.B.S.E. 2004)**

**Solution:**

**Question 24.**

6 (ax + by) = 3a + 2b

6 (bx – ay) = 3b – 2a** (C.B.S.E. 2004)**

**Solution:**

**Question 25.**

\(\frac { { a }^{ 2 } }{ x } -\frac { { b }^{ 2 } }{ y } =0\)

\(\frac { { a }^{ 2 }b }{ x } -\frac { { b }^{ 2 }a }{ y } =a+b\quad ,\quad x,y\quad \neq 0\)

**Solution:**

**Question 26.**

mx – ny = m^{2} + n^{2}

x + y = 2m **(C.B.S.E. 2006C)**

**Solution:**

**Question 27.**

**Solution:**

**Question 28.**

**Solution:**

Hope given RD Sharma Class 10 Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4 are helpful to complete your math homework.

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