Question

Verify that x=2 , is the solution of the equation 4.4x -3.8 =5

Answer 1

To verify that:

$x = 2$, is the solution of the equation:

$4.4x -3.8 =5$

Solution:

There are two ways of doing so.

1. By Solving the given equation.

$4.4x -3.8 =5$

Taking the numerical value 3.8 from left hand side to right hand side:

$\Rightarrow 4.4x=5+3.8\\\Rightarrow 4.4x=8.8\\\Rightarrow \bold{x = 2}$

Hence, verified that $x=2$ is the solution of the given equation.

2. By evaluating the value of Left Hand Side of given equation and then comparing the value with Right Hand Side of the equation.

Putting $x=2$ in the Left Hand Side:

LHS :

$4.4\times 2 -3.8\\\Rightarrow 8.8 - 3.8 \Rightarrow 5 = \bold{RHS}$

Hence, verified that $x=2$ is the solution of the given equation.

Answer 2

Answer:

We have 4.4x – 3.8 = 5

Putting x = 2, we have

4.4 × 2 – 3.8 = 5

⇒ 8.8 – 3.8 = 5

⇒ 5 = 5

L.H.S. = R.H.S.

Hence verified.