# The solution of which of the following equations is neither a fraction nor an integer

(a) 2x + 6 = 0

(b) 3x - 5 = 0

(c) 5x - 8 = x + 4

(d) 4x + 7 = x + 2

**Solution:**

Let’s solve each of the equations to find out the correct option.

(a) 2x + 6 = 0

2x = - 6

x = -3, which is an integer

(b) 3x - 5 = 0

3x = 5

x = 5/3, which is a fraction.

(c) 5x - 8 = x + 4

4x = 12

x = 3, which is an integer

(d) 4x + 7 = x + 2

3x = -5

x = -5/3, which is neither a fraction nor an integer

Hence out of the four options, the correct option is (d) 4x + 7 = x + 2, which is neither a fraction nor an integer.

**✦ Try This:** The solution of which of the following equations is neither a fraction nor an integer? (a) x + 3 = 0, (b) 3x + 5 = 0, (c) 2x - 4 = x + 2, (d) 4x - 7 = x + 2

Let’s solve each of the equation to find out the correct option.

(a) x + 3 = 0

x = -3, which is an integer

(b) 3x + 5 = 0

3x = - 5

x = - 5/3, which neither a fraction nor an integer.

(c) 2x - 4 = x + 2

2x - x = 6 + 4

x = 10, which is an integer

(d) 4x - 7 = x + 2

4x - x = 2 + 7

3x = 9

x = 3, which is an integer

Hence out of the four options, the correct option is (b) 3x + 5 = 0, which is neither a fraction nor an integer.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 4

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 4**

## The solution of which of the following equations is neither a fraction nor an integer (a) 2x + 6 = 0, (b) 3x - 5 = 0, (c) 5x - 8 = x + 4, (d) 4x + 7 = x + 2

**Summary:**

Hence out of the four options, the correct option is (d) 4x + 7 = x + 2, which is neither a fraction nor an integer

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