Question

solve the following equation by trail and error method
b) 3m-14=4​

Answer 1

• The value of m is 6.

Given :-

• The equation is 3m - 14 = 4.

To find :-

• The solution of the equation by trial and error method.

Step-by-step explanation :-

Lets put 1 as the value of m and try.

Putting 1 as m, we get :-

$\bf 3 \times 1 - 14 = 4$

$\bf 3 - 14 = 4$

$\bf - 11 = 4$

LHS ≠ RHS, so 1 is not the solution to this equation.

Lets put 2 as the value of m and try.

Putting 2 as m, we get :-

$\bf 3 \times 2 - 14 = 4$

$\bf 6 - 14 = 4$

$\bf -8 = 4$

LHS ≠ RHS, so 2 is not a solution to this equation.

Lets put 3 as the value of m and try.

Putting 3 as m, we get :-

$\bf 3 \times 3 - 14 = 4$

$\bf 9 - 14 = 4$

$\bf -5 = 4$

LHS ≠ RHS, so 3 is not a solution to this equation.

Lets put 4 as the value of m and try.

Putting 4 as m, we get :-

$\bf 3 \times 4 - 14 = 4$

$\bf 12 - 14 = 4$

$\bf -2 = 4$

LHS ≠ RHS, so 4 is not a solution to this equation.

Lets put 5 as the value of m and try.

Putting 5 as m, we get :-

$\bf 3 \times 5 - 14 = 4$

$\bf 15 - 14 = 4$

$\bf 1 = 4$

LHS ≠ RHS, so 5 is not a solution to this equation.

Lets put 6 as the value of m and try.

Putting 6 as m, we get :-

$\bf 3 \times 6 - 14 = 4$

$\bf 18 - 14 = 4$

$\bf 4 = 4$

LHS = RHS, so 6 is the solution to this equation.

Verification :-

To check our answer, we will solve the equation by transposition method and see whether our answer is 6 or not.

$\bf 3m - 14 = 4$

$\bf 3m = 4 + 14$

$\bf 3m = 18$

$\bf m = \dfrac{18}{3}$

$\bf m = 6.$

Since the value of m is 6,

Hence verified!