Solve the literal equation 2a - b = 3b – a for a .
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a = 4/3 b

Step-by-step explanation:

2a - b = 3b – a

Add a to each side

2a+a - b = 3b – a+a

3a -b = 3b

Add b to each side

3a -b+b = 3b+b

3a = 4b

Divide each side by 3

3a/3 = 4b/3

a = 4/3 b

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: