Chapter 9: Linear Equation in One Variable Exercise – 9.1
Question: 1
Solve of the following equations and also verify your solutions:
Solution:
Question: 2
Solve of the following equations and also verify your solutions:
Solution:
Question: 3
Solve of the following equations and also verify your solutions:
Solution:
Question: 4
Solve of the following equations and also verify your solutions:
Solution:
Question: 5
Solve of the following equations and also verify your solutions:
Solution:
Question: 6
Solve of the following equations and also verify your solutions:
(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0
Solution:
(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0
=> x2+ 5x + 6 + x2 – 5x + 6 – 2x2 – 2x = 0
=> 12 – 2x = 0
=> 2x = 12
=> x = 6
Verification
L.H.S = (6 + 2) (6 + 3) + (6 – 3) (6 – 2) – 2(6)(6 + 1)
= 72 + 12 – 84
= 0
R.H.S = 0
Hence, L.H.S = R.H.S
Question: 7
Solve of the following equations and also verify your solutions:
Solution:
Question: 8
Solve of the following equations and also verify your solutions:
Solution:
Question: 9
Solve of the following equations and also verify your solutions:
Solution:
Question: 10
Solve of the following equations and also verify your solutions:
13(y – 4) – 3(y – 9) – 5(y + 4) = 0
Solution:
13(y – 4) – 3(y – 9) – 5(y + 4) = 0
=> 13y – 52 – 3y + 27 – 5y – 20 = 0
=> 5y = 45
=> y = 455
= 9
Verification
L.H.S = 13(9 – 4) – 3(9 – 9) – 5(9 + 4)
= 13(5) – 3(0) – 5(13)
= 0
R.H.S = 0
Hence, L.H.S = R.H.S
Question: 11
Solve of the following equations and also verify your solutions:
Solution:
