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Question -

Solve the following equations by trial and error method:

(i) 5p + 2 = 17

(ii) 3m тАУ 14 = 4



Answer -

(i)

LHS = 5p + 2

By substituting thevalue of p = 0

Then,

LHS = 5p + 2

= (5 ├Ч 0) + 2

= 0 + 2

= 2

By comparing LHS andRHS

2 тЙа 17

LHS тЙа RHS

Hence, the value of p= 0 is not a solution to the given equation.

Let, p = 1

LHS = 5p + 2

= (5 ├Ч 1) + 2

= 5 + 2

= 7

By comparing LHS andRHS

7 тЙа 17

LHS тЙа RHS

Hence, the value of p= 1 is not a solution to the given equation.

Let, p = 2

LHS = 5p + 2

= (5 ├Ч 2) + 2

= 10 + 2

= 12

By comparing LHS andRHS

12 тЙа 17

LHS тЙа RHS

Hence, the value of p= 2 is not a solution to the given equation.

Let, p = 3

LHS = 5p + 2

= (5 ├Ч 3) + 2

= 15 + 2

= 17

By comparing LHS andRHS

17 = 17

LHS = RHS

Hence, the value of p= 3 is a solution to the given equation.

(ii)

LHS = 3m тАУ 14

By substituting thevalue of m = 3

Then,

LHS = 3m тАУ 14

= (3 ├Ч 3) тАУ 14

= 9 тАУ 14

= тАУ 5

By comparing LHS andRHS

-5 тЙа 4

LHS тЙа RHS

Hence, the value of m= 3 is not a solution to the given equation.

Let, m = 4

LHS = 3m тАУ 14

= (3 ├Ч 4) тАУ 14

= 12 тАУ 14

= тАУ 2

By comparing LHS andRHS

-2 тЙа 4

LHS тЙа RHS

Hence, the value of m= 4 is not a solution to the given equation.

Let, m = 5

LHS = 3m тАУ 14

= (3 ├Ч 5) тАУ 14

= 15 тАУ 14

= 1

By comparing LHS andRHS

1 тЙа 4

LHS тЙа RHS

Hence, the value of m= 5 is not a solution to the given equation.

Let, m = 6

LHS = 3m тАУ 14

= (3 ├Ч 6) тАУ 14

= 18 тАУ 14

= 4

By comparing LHS andRHS

4 = 4

LHS = RHS

Hence, the value of m= 6 is a solution to the given equation.

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