Class 8 Maths NCERT Solutions for Chapter – 2 Linear Equations In One Variable Ex – 2.6

Linear Equations In One Variable

Question 1.
\frac { 8x-3 }{ 3x } =2
Solution:
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 66

Question 2.
\frac { 9x }{ 7-6x } =15
Solution:
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 67

Question 3.
\frac { z }{ z+15 } =\frac { 4 }{ 9 }
Solution:
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 68

Question 4.
\frac { 3y+4 }{ 2-6y } =\frac { -2 }{ 5 }
Solution:
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 69

Question 5.
\frac { 7y+4 }{ y+2 } =\frac { -4 }{ 3 }
Solution:
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 70

Question 6.
The ages of Hari and Harry are in the ratio 5: 7. Four years from now the ratio of their ages will be 3 :4. Find their present ages.

Solution.
Let the present ages of Hari and Harry be 5x years and 7x years respectively.
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 71
∴ Present age of Hari =5 x 4 years = 20 years
∴ Present age of Harry =7 x 4 years = 28 years.

Question 7.
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is \frac { 3 }{ 2 } . Find the rational number.

Solution.
Let the numerator of the rational number be x. Then, the denominator of the rational number = x + 8.
∴ The rational number = \frac { x }{ x+8 }
If the numerator is increased by 17 and the denominator is decreased by 1, the number becomes \frac { 3 }{ 2 } .
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations In One Variable 72
Hence, the required rational number = \frac { 13 }{ 21 } .

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