Question

Solve 2x-3=5 by using trial and error method

Answer 1

By using trial and error method the required solution of the equation 2x - 3 = 5 is x = 4

Given :

The equation 2x - 3 = 5

To find :

Solve the equation by using trial and error method

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is 2x - 3 = 5

LHS = 2x - 3

RHS = 5

Step 2 of 2 :

Solve using trial and error method

Putting x = 1 we get

LHS = (2 × 1) - 3 = 2 - 3 = - 1

RHS = 5

∴ LHS ≠ RHS

∴ x = 1 is not the required solution

Putting x = 2 we get

LHS = (2 × 2) - 3 = 4 - 3 = 1

RHS = 5

∴ LHS ≠ RHS

∴ x = 2 is not the required solution

Putting x = 3 we get

LHS = (2 × 3) - 3 = 6 - 3 = 3

RHS = 5

∴ LHS ≠ RHS

∴ x = 3 is not the required solution

Putting x = 4 we get

LHS = (2 × 4) - 3 = 8 - 3 = 5

RHS = 5

∴ LHS = RHS

∴ x = 4 is the required solution

Hence by using trial and error method the required solution of the equation 2x - 3 = 5 is x = 4

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Answer 2

L.H.S=2x-3=5

R.H.S=5

L.H.S(2×1)-3=2-3=-1

R.H.S=5

LHS not equal to RHS

X=1not required for solution