Question

Solve $0.6x + 0.8 = 2.8x + 1.16$

Answer 1

Hint: Given equation is in linear form with one variable $x$ . This equation can be solved by taking the terms of $x$ to one side and other constants to the other side by using simple mathematical calculation. By doing so, we can directly find the value of $x$ .

Complete step-by-step answer:
Step 1:
The given equation is $0.6x + 0.8 = 2.8x + 1.16$
This equation has a single variable $x$ and the degree of the equation is one. This kind of equations are called linear equations of single degree.
Step 2:
We generally start solving these equations by bringing the variables to one side and constants to the other side.
By doing so, we get the equation as
$0.6x - 2.8x = 1.16 - 0.8$
$ - 2.2x = 0.36$
Step 3:
Now we have a direct equation which can be solved with direct dividing the constant side with the coefficient of variable $x$
$ - x = \dfrac{{0.36}}{{2.2}}$
$ - x = 0.16363636$
$x = - 0.16363636$
By doing so, we get the value as
$x = - 0.16363636$
By solving the above equation, we got the value of $x$ as $ - 0.16363636$ . This is a rational number which doesn’t have an ending so, we round it off to $ - 0.1637$ which may vary according to the place of use of this variable.
So, final value of $x$ we get as $ - 0.1637$

Note: As we have seen in the above problem, there is only a single value of $x$ possible. But rounding off should be done according to the use where the value is being used.
There are various other types of equations possible based on the power of variables and the number of variables present. An equation with multiple variables is called a multi variable equation. An equation with the power of a variable more than one is called a multi degree polynomial.