NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6 – Linear Equation in one variable, has been designed by the NCERT to test the knowledge of the student on the topic – Equations Reducible to the Linear Form

### NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6

**NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6**

**Solve the following equations.**

**1. (8x-3/3x) = 2**

**Solution:**

By cross-multiplication, we get

8x – 3 = 2 × 3x

8x – 3 = 6x

8x – 6x = 3

2x = 3

x = 3/2

**2. (9x/7-6x) = 15**

**Solution:**

By cross-multiplication, we get

9x = 15(7 – 6x)

9x=105 – 90x

9x + 90x = 105

99x = 105

x = (105/99) = (35/33)

**3. (z/z+15) = 4/9**

**Solution:**

By cross-multiplication, we get

z x 9 = 4(z + 15)

9z = 4z + 60

9z – 4z = 60

5z = 60

z = 60/5

z = 12

**4.** **(3y+4/2-6y) = -(2/5)**

**Solution:**

By cross-multiplication, we get

(3y+4)x5 = -2x(2-6y)

15y+20=-4+12y

15y-12y=-20-4

3y=-24

y = (-24/3)

y=-8

**5. (7y+4/y+2) = -(4/3)**

**Solution:**

By cross-multiplication, we get

3 x (7y+4) = -4 x (y+2)

21y + 12 = -4y – 8

21y + 4y = -12 – 8

25y = -20

y = -20/25

y = -4/5

**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, present ages of Hari and Harry be 5x and 7x

As given in the question,

Four years from now the ratio of their ages will be 3:4

(5x+4/7x+4) = 3/4

(5x+4) × 4 = 3 × (7x+4)

[ By cross-multiplication ]

20x + 16 = 21x + 12

21x – 20x = 16 – 12

x = 4

Hence, present ages of Hari and Harry are 5 x 4 = 20 years and 7 x 4 = 28 years respectively

**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 ****. Find the rational number.**

**Solution:**

Let, Numerator of rational number be x

Therefore, denominator will be 8+x

As given in the question,

Numerator is increased by 17 and Denominator is decreased by 1

(x+17/x+8-1) = 3/2

(x+17/x+7) = 3/2

[ By cross-multiplication ]

2 × (x+17) = (x+7) × 3

2x + 34 = 3x + 21

3x – 2x = 34 – 21

x = 13

Hence, Rational number = (Numerator/Denominator) = (13/13+8) = (13/21)

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.1 – Understanding Quadrilaterals can be accessed by clicking here**

**Download NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.6**

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