A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? x + y = 3 and x minus 3 y = negative 27 x + y = 3 and x minus 3 y = negative 9 x minus y = 3 and x minus 3 y = negative 27 x minus y = 3 and x minus 3 y = negative 9

The two equations are

y = x - 3 and

3y = x + 9

Step-by-step explanation:

The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.

Given:

2 statements

Required

Write equivalent of both statements as equations

Let the large number be represented by x.

From the first statement (y, is equal to the difference of a larger number and 3)

Difference means minus (-); so, this statement is represented as follows to give us the first equation:

y = x - 3

From the second statement (The same number is one-third of the sum of the larger number and 9).

This is also represented as follows to give us the second equation

y = ⅓ (x + 9)

Multiply both sides by 3

3 * y = 3 * ⅓ (x + 9)

3y = x + 9

So, the two equations are

y = x - 3 and

3y = x + 9

The two equations are

y = x - 3 and

3y = x + 9