8th Maths 2.3
Chapter 2
Linear Equations in One Variable
NCERT Class 8th solution of Exercise 2.1
NCERT Class 8th solution of Exercise 2.2
NCERT Class 8th solution of Exercise 2.4
NCERT Class 8th solution of Exercise 2.5
NCERT Class 8th solution of Exercise 2.6
Exercise 2.3
Solve the following equations and
check your results.
Q1. 3x = 2x + 18
Solution:
3x = 2x + 18
3x - 2x = 18
x = 18
Check the result
3×18=2×18+18
54=36+18
54=54
Answer:
x = 18.
Q2. 5t - 3 = 3t - 5
Solution:
5t - 3 = 3t - 5
5t - 3t = - 5 + 3
2t = - 2
t = -22
t = - 1
Check the result
5×(-1)-3=3×(-1)-5
-5-3=-3-5
-8=-8
Answer:
t=-1.
Q3. 5x + 9 = 5 + 3x
Solution:
5x + 9 = 5 + 3x
5x - 3x = 5 - 9
2x = - 4
x =-42
x=-2
Check the result
5×(-2)+9=5+3×(-2)
-10+9=5-6
-1=-1
Answer:
x=-2.
Q4. 4 z + 3 = 6 + 2z
Solution:
4 z + 3 = 6 + 2z
4z - 2z = 6 - 3
2z = 3
z=32
Check the result
4×32+3=6+2×32
6+3=6+3
9=9
Answer:
z=32.
Q5. 2x - 1 = 14 - x
Solution:
2x - 1 = 14 - x
2x + x = 14 + 1
3x = 15
x = 5
Check the result
2×5-1=14-5
10-1=9
9=9
Answer:
x = 5
Q6. 8x + 4 = 3(x - 1) + 7
Solution:
8x + 4 = 3( x - 1) + 7
8x + 4 = 3x - 3 + 7
8x - 3x = - 3 + 7 - 4
5x = - 7 + 7
x = 0
Check the result
8×0+4=3(0-1)+7
0+4=0-3+7
4=4
Answer:
x = 0
Q7. x = 45(x + 10)
Solution:
x = 45(x + 10)
x = 4x5+8
x - 4x5=8
5x - 4x5=8
x5=8
x = 40
Check the result
40=45(40+10)
40=45(50)
40=40
Answer:
x = 40
Q8. 2x3+1=7x15+3
Solution:
2x3+1=7x15+3
2x3-7x15=3-1
30x - 21x45=2
9x45=2
x5=2
x = 10
Check the result
2×103+1=7×1015+3
203+1=143+3
20+33=14+93
23=23
Answer:
x = 10.
Q9. 2y + 53=263-y
Solution:
2y + 53=263-y
2y + y=263-53
3y=213
y=73
Check the result
2×73+53=263-73
143+53=193
193=193
Answer:
y=73.
Q10. 3m = 5m-85
Solution:
3m = 5m-85
3m - 5m=-85
-2m=-85
m=45
Check the result
3×45=5×45-85
125=4-85
125=20-85
125=125
Answer:
m=45.
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