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 a

Question

3 years ago

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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 a

nd 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

Mathematics

2 answers:

mariarad [96] · Answer 1 · 2022-07-17T10:16:54+03:00

Answer:

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