Question

solve equation 3m-14=4 by trial and error method

Answer 1

3m-14=4
3m=4+14
3m=18
m=6

Answer 2

Answer:

Required solution is $m = 6$

Step-by-step explanation:

Given equation:

$3m – 14 = 4$

$LHS = 3m – 14$

By substituting the value of

$m = 3$

Then,

LHS $= 3m – 14$

LHS $= (3 × 3) – 14$

LHS $= 9 – 14$

LHS $= – 5$

By comparing LHS and RHS

$-5 ≠ 4$

LHS ≠ RHS

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

$Let, m = 4 \\ LHS = 3m – 14 \\ LHS = (3 × 4) – 14 \\ LHS = 12 – 14 \\ LHS = – 2$

By comparing LHS and RHS

$-2 ≠ 4$

LHS ≠ RHS

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

$Let, m = 5 \\ LHS = 3m – 14 \\ LHS = (3 × 5) – 14 \\ LHS = 15 – 14 \\ LHS = 1$

By comparing LHS and RHS

1 ≠ 4

LHS ≠ RHS

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

$Let, m = 6 \\ LHS = 3m – 14 \\ LHS = (3 × 6) – 14 \\ LHS = 18 – 14 \\ LHS = 4$

By comparing LHS and RHS

4 = 4

LHS = RHS

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