Q.3 Solve the following equations by trial and error method:

(i) 5p + 2 = 17

(ii) 3m – 14 = 4

(i) 5p + 2 = 17

(ii) 3m – 14 = 4

(i) 5p + 2 = 17

For p = 1, LHS

= 5 × 1 + 2 = 5 + 2 = 7 \(\neq \)RHS=17

For p = 2, LHS = 5 × 2 + 2

= 10 + 2 = 12 \(\neq \) RHS=17

For p = 3, LHS = 5 × 3 + 2

= 15 + 2 = 17 = RHS

Since the given equation is satisfied for p = 3 Thus, p = 3 is the required solution.

(ii) 3m – 14 = 4

For m = 1, LHS = 3 × 1 – 14

= 3 – 14 = -11 \(\neq \) RHS = 4

For m = 2, LHS = 3 × 2 – 14 = 6 – 14
= -8 \(\neq \) RHS= 4

For m = 3, LHS = 3 × 3 – 14 = 9 – 14
= -5 \(\neq \) RHS =4

Form m = 4, LHS = 3 × 4 – 14
= 12 – 14 = -2 \(\neq \) RHS= 4

For m = 5, LHS = 3 × 5 – 14
= 15 – 14 = -1 \(\neq \) RHS =4

For m = 6, LHS = 3 × 6 – 14
= 18 – 14 = 4 =RHS

Since, the given equation is satisfied for m = 6.
Thus, m = 6 is the required solution.