Question

Solve the following equation by trial and error method:
3m - 14 = 4

Answer 1

3m - 14 = 4
Putting m = -2 in L.H.S we get,
3(-2) - 14 = -6 - 14 = -20
$\because$ -20 $\ne$ 4 Therefore, m = -2 is not the solution.

Putting m = -1 in L.H.S we get,
3(-1) - 14 = -3 - 14 =-17
$\because$ -17 $\ne$ 4 Therefore, m = -1 is not the solution.

Putting m = 0 in L.H.S we get,
3(0) - 14 = 0 - 14 = -14
$\because$ -14 $\ne$ 4 Therefore,m = 0 is not the solution.

Putting m = 1 in L.H.S we get,
3(1) - 14 = 3 - 14 = -11
$\because$ -11 $\ne$ 4 Therefore, m = 1 is not the solution.

Putting m = 2 in L.H.S we get,
3(2) -14 = 6 - 14 = -8
$\because$ -8 $\ne$ 4 Therefore, m = 2 is not the solution.

Putting m = 3 in L.H.S we get,
3(3) - 14 = 9 - 14 = -5
$\because$ -5 $\ne$ 4 Therefore, m = 3 is not the solution.

Putting m = 5 in L.H.S we get,
3(5) - 14 = 15 - 14 = 1
$\because$ 1 $\ne$ 4 Therefore, m = 5 is not the solution.

Putting m = 6 in L.H.S we get,
3(6) - 14 = 18 - 14 = 4
$\because$ 4 = 4 Therefore, m = 6 is the solution.