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Check whether the value given in the brackets is a solution to the given equation or not:
(a) n + 5 = 19 (n = 1) (b) 7n + 5 = 19 (n = -2)
(c) 7n + 5 = 19 (n = 2) (d) 4p - 3 = 13 (p = 1)
(e) 4p - 3 = 13 (p = - 4) (f) 4p - 3 = 13 (p = 0)

Solution:

We substitute the values of the variables given in each question and check whether LHS is equal to RHS.

a) Here, n + 5 is L.H.S, 19 is R.H.S and n = 1 (given)

L.H.S = n + 5,

By putting, n = 1,

L.H.S = 1 + 5 = 6 ≠ R.H.S

L.H.S ≠ R.H.S, so n = 1 is not a solution of the equation.

b) Here, 7n + 5 is L.H.S, 19 is R.H.S and n = – 2 (given)

L.H.S = 7n + 5,

By putting, n = – 2,

L.H.S = 7 (−2) + 5 = −9 ≠ R.H.S

As, L.H.S ≠ R.H.S, so n = – 2 is not a solution of the equation.

c) Here, 7n + 5 is L.H.S, 19 is R.H.S and n = 2 (given)

L.H.S = 7n + 5,

By putting, n = 2,

L.H.S = 7 (2) + 5 = 19 = R.H.S

As, L.H.S = R.H.S, so n = 2 is a solution of the equation.

d) Here, 4p – 3 is L.H.S, 13 is R.H.S and p = 1 (given)

L.H.S = 4p – 3,

By putting, p = 1,

L.H.S = 4 (1) – 3 = 1 ≠ R.H.S

As, L.H.S ≠ R.H.S, so p = 1 is not a solution of the equation.

e) Here, 4p – 3 is L. H.S, 13 is R.H.S and p = - 4 (given)

L.H.S = 4p – 3,

By putting, p = - 4,

L.H.S = 4 (- 4) – 3 = -19 ≠ R.H.S

As, L.H.S ≠ R.H.S, so p = -4 is not a solution.

f) Here, 4p – 3 is L. H.S, 13 is R.H.S and p = 0 (given data)

L.H.S = 4p – 3,

By putting, p = 0,

L.H.S = 4(0)–3 = −3 ≠ R.H.S

As, L.H.S ≠ R.H.S, so p = 0 is not a solution of the equation.

☛ Check: NCERT Solutions Class 7 Maths Chapter 4

Video Solution:

Check whether the value given in the brackets is a solution to the given equation or not: (a) n + 5 = 19 (n = 1) (b) 7n + 5 = 19 (n = -2) (c) 7n + 5 = 19 (n = 2) (d) 4p - 3 = 13 (p = 1) (e) 4p - 3 = 13 (p = - 4) (f) 4p - 3 = 13 (p = 0)

NCERT Solutions for Class 7 Maths Chapter 4 Exercise 4.1 Question 2

Summary:

For the following equations: (a) n + 5 = 19 (n = 1); n = 1 is not a solution of the equation, (b) 7n + 5 = 19 (n = -2); n = – 2 is not a solution of the equation, (c) 7n + 5 = 19 (n = 2); n = 2 is a solution of the equation, (d) 4p - 3 = 13 (p = 1) p = 1 is not a solution of the equation, (e) 4p - 3 = 13 (p = - 4); p = - 4 is not a solution of the equation, (f) 4p - 3 = 13 (p = 0); p = 0 is not a solution of the equation.

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