Which equation illustrates dividing out a common factor as the first step to solve the equation 2 x + 4 = 6 x + 2 ?
A. 2 ( x + 2 ) = 2 ( 3 x + 1 )
B. 2x/2 + 2/2 = 6x/2 + 2/2
C. 2x/2 + 4 = 6x/2 + 2***
D. 2 x + 4/2 = 6 x + 2/2
dose anyone know the answers for this test
ion even know tbh
i believe it is c, am i right?
not C -- you did not divide everything by 2
(or factor out a 2)
In order to solve the equation 2x + 4 = 6x + 2, the first step is to divide out the common factor from both sides of the equation.
To do this, you need to find the greatest common factor (GCF) of the coefficients of x in both terms. In this case, the greatest common factor is 2.
Now, divide each term by 2:
For the left side of the equation:
2x / 2 = x
4 / 2 = 2
For the right side of the equation:
6x / 2 = 3x
2 / 2 = 1
After dividing out the common factor of 2, the equation becomes:
x + 2 = 3x + 1
So, the correct equation that illustrates dividing out the common factor as the first step is:
C. 2x/2 + 4 = 6x/2 + 2