# The equation which cannot be solved in integers is

(a) 5y - 3 = - 18

(b) 3x - 9 = 0

(c) 3z + 8 = 3 + z

(d) 9y + 8 = 4y - 7

**Solution:**

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

(a) 5y - 3 = - 18

5y = - 18 + 3

y = - 15/5

y = -3, which is an integer

(b) 3x - 9 = 0

3x = 9

x = 9/3

x = 3, which is an integer.

(c) 3z + 8 = 3 + z

3z - z = 3 - 8

2z = -5

Z = -5/2, which isn’t an integer

(d) 9y + 8 = 4y - 7

9y - 4y = -7 - 8

5y = -15

y = -15/5

y = - 3, which is an integer

Hence out of the four options, the correct option is (c) 3z + 8 = 3 + z, which cannot be solved in integers.

**✦ Try This:** The equation which cannot be solved in integers is (a) 5y - 3 = 18, (b) 2x - 8 = 0, (c) 3z + 5 = 8 + z, (d) 6y + 8 = 4y

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

(a) 7y - 3 = 18

7y = 18 + 3

y = 21/7

y = 3, which is an integer

(b) 2x - 8 = 0

2x = 8

x = 8/2

x = 4, which is an integer.

(c) 3z + 5 = 8 + z

3z - z = 8 - 5

2z = 3

Z = 3/2, which isn’t an integer

(d) 6y + 8 = 4y

6y - 4y = - 8

2y = - 8

y = - 8/2

y = - 4, which is an integer

Hence out of the four options, the correct option is (c) 3z + 5 = 8 + z, which cannot be solved in integers.

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

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 5**

## The equation which cannot be solved in integers is (a) 5y - 3 = - 18, (b) 3x - 9 = 0, (c) 3z + 8 = 3 + z, (d) 9y + 8 = 4y - 7

**Summary:**

Hence out of the four options, the correct option is (c) 3z + 8 = 3 + z, which cannot be solved in integers

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