What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?
O 3
O 4
O 5
09

Step-by-step explanation:

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

Bringing like terms on one side

3 + 9 = 4.5x - 1. 5x

12 = 3x

12/3 = x

4 = x

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:

where is the figure