B is 30 more than a. b is 6 times as many as a. Find the values of a and b.​

a = 6 and b = 36

Step-by-step explanation:

Set up equations:

b = 30 + a

b = 6a

Subtract the two equations:

b = 6a

- (b = 30 + a)

5a - 30 = 0

5a = 30

divide both sides by 5

a = 6

Plug a = 6 into the original equation:

b = 30 + 6

b = 36

you could also do:

b = 6 * 6

b = 36

Step-by-step explanation:

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: