Question 4249: 10 - 4x -3 = 2
Answer by ms.nelson(2)   (Show Source):
You can put this solution on YOUR website! First, this would not be considered a quadratic equation because this equation is not in the second degree. However, to solve is not so bad. In this case, you would want to first look at the left side of the equation which is:
10 - 4x - 3.
This side can be simplified by collecting the like terms. I consider like terms to be like a family. For example, x's go with x's, y's go with y's, numbers without variables (letters) go with numbers without variables (letters). 2x and a 4x would be like terms because they both have x's.
On this side, 10 and a -3 are like terms. -4x is a term all by itself.
Simplify the left side
10-4x-3 =2
7-4x = 2 (the left side has been simplified and it is 7 because 10 - 3 = 7)
Now, you must continue by getting the variable term (-4x) on a side by itself. 7 is what needs to be moved from the left side and since it is a positive number, you move it by subtracting 7. In an equation, when you do something to one side you must do it do the other side.
7 -4x = 2
Subtract 7 from both sides
-4x = -5 ( 7 - 7 = 0 leaving you with -4x on the left and 2 - 7 = -5)
(-4 and x are connected by the operation of multiplication, therefore, to remove multipication you must do the opposite operation which is divison)
Divide both sides by -4
and you get
x = 5/4 (The answer is positive because a negative divided by a negative is positive)
Recap:
10 - 4x - 3 = 2
7 - 4x = 2 (combined like terms)
-4x = -5 (subtacted 7 from both sides)
x = 5/4 (divided both sides by -4)
You can check by substituting or plugging (5/4) for x in the original problem to see if it works.
10 - 4 (5/4) - 3 =? 2
10 - 5 - 3 =? 2
2 = 2 since it works then x = 5/4 is correct
|
|
|
