Aset of equations is given below:
equation e: a = 5b + 1
equation f: a = 3b + 4
which statement describes a step that can be used to find the solution to the set of equations?

The statement is equating

5b+1=3b+4

Step-by-step explanation:

Given equation 1 : a=5b+1

      equation 2 : a=3b+4

Now since LHS of both the equations is the same

so RHS is also going to be same

 i.e. 5b+1=3b+4

5b-3b=4-1

2b=3

b=

Now a=

=

=

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: