Question

3x=16
solve by trial and error method​

Answer 1

Solution by Trial and Error Method

The given equation is: 3x = 16

Putting x = 0, we get

• 3 (0) = 16
• 0 = 16
• This is not true.
• Thus x = 0 is not a solution.

Putting x = 1, we get

• 3 (1) = 16
• 3 = 16
• This is not true.
• Thus x = 1 is not a solution.

Putting x = 2, we get

• 3 (2) = 16
• 6 = 16
• This is not true.
• Thus x = 2 is not a solution.

Putting x = 3, we get

• 3 (3) = 16
• 9 = 16
• This is not true.
• Thus x = 3 is not a solution.

Putting x = 4, we get

• 3 (4) = 16
• 12 = 16
• This is not true.
• Thus x = 4 is not a solution.

Putting x = 5, we get

• 3 (5) = 16
• 15 = 16
• This is not true.
• Thus x = 5 is not a solution.

Putting x = 6, we get

• 3 (6) = 16
• 18 = 16
• This is not true.
• Thus x = 6 is not a solution.

We see that x = positive integral values fail to be the solution. Since 3 (from the left hand side of the equation) is a prime number and 16 (from the right hand side of the equation) is an even number, let us try with fractions that include 16 in their numerators.

Putting x = 16/1, we get

• 3 (16/1) = 16
• 3 (16) = 16
• 48 = 16
• This is not true.
• Thus x = 16/1 is not a solution.

Putting x = 16/2, we get

• 3 (16/2) = 16
• 3 (8) = 16
• 24 = 16
• This is not true.
• Thus x = 26/2 is not a solution.

Putting x = 16/3, we get

• 3 (16/3) = 16
• 16 = 16
• This is true.
• Thus x = 16/3 is a solution.

Answer: The required solution is x = 16/3.

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