3X-4(2X+1)=5 + 2(3X-1)

x = -7/11

Step-by-step explanation:

3x - 4(2x + 1) = 5 + 2(3x - 1)

3x - 8x - 4 = 5 + 6x - 2

-5x - 4 = 3 + 6x

-5x - 4 + 5x = 3 + 6x + 5x

-4 = 3 + 11x

-4 - 3 = 3 + 11x - 3

-7 = 11x

-7/11 = 11x/11

-7/11 = 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:

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step-by-step explanation: