In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?

In order to isolate the variable term in the given equation, we need to subtract 6 from both the sides.

Step-by-step explanation:

The given equation is

In this equation the variable is x and the variable term is -2x, which is on the left side of the equation.

On the left sides we have a constant also,i.e, 6.

Using the subtraction property of equality, subtract 6 from both the sides.

Therefore, we need to subtract 6 from both the sides, to isolate the variable term in the given equation.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: