- What is Linear equations
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- Linear equations Solutions
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- Graphical Representation of Linear equation in one and two variable
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- Steps to Draw the Given line on Cartesian plane
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- Simultaneous pair of Linear equation
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- Algebraic Solution of system of Linear equation
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- Simultaneous pair of Linear equation in Three Variable
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- Steps to solve the equations

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- Problem and Solutions
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- Linear equations Problems
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- Linear equation worksheet
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- Linear equation word problems
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- Linear equations graphical problems

Given below are the

a) Concepts questions

b) Calculation problems

c) Multiple choice questions

d) Long answer questions

e) Fill in the blank's

a) $\angle A = (2x + 4)$, $\angle B = (y + 3)$, $\angle C = (2y + 10)$, $\angle D = (4x -5)$.

b) $\angle A = (2x - 1)$, $\angle B = (y + 5)$, $\angle C = (2y + 15)$ and $\angle D = (4x -7)$

Solution

3x - 2y = 4

6x + 2y = 4

9x -6y = 12

Solution

2x + 3y = 7

2ax + (a + b)y = 28.

Solution

2x -3y = 7

(a + b)x - (a + b- 3)y = 4a + b.

Solution

Solution

Solution

Solution

Solution

Solution

Solution

2x + 3y = 5

px +9y = 12

i) kx + 4y - (k + 8) = 0

4x + ky + 4 = 0

ii) 2x + 3y = 4

(k + 2)x + 6y = 3k + 2

Solution

i) (3k + 1) x + 3y = 2

(k

ii)3x + y = 1

(2k - 1) x + (k - 1) y = 2k + 1

iii) 2x + ky = 11

5x -7y = 5

2x + ky = 6, 4x + 6y = 0

i) x + (k + 1) y = 5

(k + 1) x + 9y = 8k – 1

ii) 8x + 5y = 9

kx + 10y = 18

iii) 2x + 3y = k

(k – 1) x + (k + 2) y = 3k

αx + 3y = α – 3

12x + αy = α

will have no solution?

kx + 2y = 5

3x + y = 1

has (i) a unique solution, and (ii) no solution.

2x + ky = 1

3x - 5y = 7

has (i) a unique solution, and (ii) no solution.

2x - (2a + 5) y = 5

(2b + 1) x – 9y = 15

2x + 3y - 7 = 0

(a – 1) x + (a + 1) y = (3a – 1)

Answer

16) -6

17) k≠6 , k=6

18) k≠ -10/3 , k=10/3

19) (-1, 5/2)

20) a=5

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