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
4z2z=63
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.
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