Linear Equations in one variable
Exercise 2.3
Question 1:
Solve the following equations and check your results: 3x = 2x +18
Answer 1:
3x = 2x +18
3x - 2x = 18
x = 18
To check:
3x = 2x -18
3x18 = 2x18+18
54 = 36+18
54 = 54
L.H.S. = R.H.S.
Hence, it is correct.
Question 2:
Solve the following equations and check your results: 5t - 3 = 3t - 5
Answer 2:
5t -3 = 3t - 5
5t -3t = 5+3
2t =- 2
t= -2/2 = -1
To check:
5t 3 3t 5
5x(-1)- 3 = 3x(-1)- 5
- 5 - 3 = - 3- 5
- 8 = -8
L.H.S. = R.H.S.
Hence, it is correct.
Question 3:
Solve the following equations and check your results: 5x 9 53x
Answer 3:
5x + 9 = 5+3x
5x - 3x = 5- 9
2x = -4
To check:
5x 9 53x
5x(-2)+ 9 = 5 + 3x(-2)
-10+9 = 5- 6
-1= -1
L.H.S. = R.H.S.
Hence, it is correct.
Question 4:
Solve the following equations and check your results: 4z +3 = 6 + 2z
Answer 4:
4z+3=6+2z
4z-2z=6-3
2z=3
z = 3/2
To check:
4z +3 = 6 + 2z
Hence, it is correct.
Question 5:
Solve the following equations and check your results: 2x -1=14- x
Answer 5:
To check
Hence, it is correct.
Question 6:
Solve the following equations and check your results:
Answer 6:
To check:
Hence, it is correct.
Question 7:
Solve the following equations and check your results:
Answer 7:
To check:
Hence, it is correct.
Question 8:
Solve the following equations and check your results:
Answer 8:
x=30/3 =10
To check
Hence, it is correct.
Question 9:
Solve the following equations and check your results:
Answer:
To check:
Hence, it is correct.
Question 10:
Solve the following equations and check your results:
Answer 10:
To check:
Hence, it is correct.
1. What are linear equations in one variable? |
2. How do you solve a linear equation in one variable? |
3. What is the importance of linear equations in one variable? |
4. How can linear equations in one variable be applied in real life situations? |
5. How can one verify the solution of a linear equation in one variable? |
|
Explore Courses for Class 8 exam
|