Respuesta :
The correct option is Option D: Adding 1.3 to both sides of the equation, subtracting 4x from both sides of the equation, then dividing both sides by the coefficient of x.
What is the linear equation?
The linear equation is an equation where the highest degree of the variables used in the equation is 1.
For example 9x+5=23
Given the equation is -1.3 +4.6x= 0.3+ 4x
In order to the linear equation first, try to keep the constant and the variable part to one side by adding or subtracting the constant term.
Then divide the coefficient of the variable (if the coefficient is not equal to 1) on both sides.
Here the given equation is -1.3 +4.6x= 0.3+ 4x
Step-1: Adding 1.3 to both sides of the equation
⇒-1.3 +4.6x +1.3 = 0.3+ 4x +1.3
⇒4.6x = 4x+1.6
Step-2: subtracting 4x from both sides of the equation
⇒4.6x -4x = 4x+1.6-4x
⇒ 0.6x=1.6
Step-3: dividing both sides by the coefficient of x i.e. 0.6.
⇒0.6x/0.6 = 1.6/0.6
⇒x= 2.67
Therefore the correct option is Option D: Adding 1.3 to both sides of the equation, subtracting 4x from both sides of the equation, then dividing both sides by the coefficient of x.
Learn more about linear equation
here: https://brainly.com/question/13728326
#SPJ2