Question

Solve the following equation by trial and error method:

3m - 14 = 4

Answer 1

Let m = 1

Therefore, 3m − 14

= 3 × 1 − 14

= 3 − 14

= −11

But, −11 ≠ 4

L.H.S. ≠ R.H.S.

Now, let's assume m = 2

Therefore, 3m − 14

= 3 × 2 − 14

= 6 − 14

= −8

But, −8 ≠ 4

L.H.S. ≠ R.H.S.

Now, let's assume m = 3

Therefore, 3m − 14

= 3 × 3 − 14

= 9 − 14

= −5

But, −5 ≠ 4

L.H.S. ≠ R.H.S.

Now, let's assume m = 4

= 12 − 14

= −2

But, −2 ≠ 4

L.H.S. ≠ R.H.S.

Now, let's assume m = 5

Therefore, 3m − 14

= 3 × 5 − 14

= 15 − 14

= 1

But, 1≠ 4

L.H.S. ≠ R.H.S.

Now, let's assume m = 6

Therefore, 3m − 14

= 3 × 6 − 14

= 18 − 14

= 4

Therefore, m = 6

L.H.S. = R.H.S.