NCERT Solution (Ex-2.6) - Chapter 2: Linear Equations in One Variable, Maths, Class 8 PDF Download

Linear Equations in one variable

Exercise 2.6

Question 1:
Solve the following equation:

Answer 1:

 8x-3= 2*3x

8x-3 =6x

8x-6x=3

2x=3

x=3/2

Question 2:
Solve the following equation: 

Answer 2:

 9x=15(7-6x)

 9x=105-90x

 9x+90x=105

 99x=105

 x=105/99  35/33

Question 3:
Solve the following equation:  

Answer 3:

 z*9 =4(z+15)

9z=4z+60

9z-4z=60

5z=60

z=60/5     z=12

Question 4:
Solve the following equation 

Answer

5(3y+4) = -2(2-6y)

15y+20= -4+12y

15y-12y=-4-20

 3y= -24     y=-24/3    y=-8

Question 5:
Solve the following equation: 

Answer

          y=-20/25                

  y=-4/5

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.

Answer 6:
Let the Ages of Hari and Harry be 5x years and 7x years.

According to question, 

Hence, the age of Hari = 5x = 5 x 4 = 20 years and the age of Harry = 7x = 7 x 4 = 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 3/2 Find the rational number.

Answer 7:
Let the numerator of a rational number be x, then the denominator is x +8.

Therefore, Rational number x/(x+8)

According to the question,

      2(x+17)= 3(x+7)

      2x+34 = 3x+21

      2x-3x=21-34

      -x= -13            
     x=13

Hence, the required rational number