Seven less than one-third of a number is the same as the product of five-thirds and the sum of that number and -5. what is the number?

x - 7 = (x - 5)

x - 21 = 5(x - 5)         multiplied 3 to both sides to eliminate the denominator

x - 21 = 5x - 25         distributed 5 into (x - 5) on the right side

   -21 = 4x - 25        subtracted "x" from both sides

     4 = 4x                added 25 to both sides

      1 = x                  divided both sides by 4

1

what are the options? ?

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.