Respuesta :

Answer:

5-2

28 - 5²

17 - 7 × 2

[tex]\frac{28}{4}-4[/tex]

5 × 3 - 4 × 3

Step-by-step explanation:

Let x and y be any two numbers,

Such that,

y - x = 3,

⇒ y = 3 + x

Where, x is any positive real number.

Thus, we can find such equation by using this,

Such equations could be,

5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12

or

5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3

Five equations where the difference is equal to 3 are, respectively:

(i) [tex]y - x = 3[/tex]

(ii) [tex]y + 9\cdot x = 3[/tex]

(iii) [tex]y -5\cdot x = 3[/tex]

(iv) [tex]y +2\cdot x = 3[/tex]

(v) [tex]y -11\cdot x = 3[/tex]

Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".

From Analytical Geometry, a Linear Equation is an expression of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

  • [tex]x[/tex] - Independent variable.
  • [tex]y[/tex] - Dependent variable.
  • [tex]m[/tex] - Slope.
  • [tex]b[/tex] - Intercept.

Based on the question, we need to write 5 expressions so that:

[tex]y - m\cdot x = b[/tex]

If we know that [tex]b = 3[/tex], then we get the following expressions:

(i) [tex]y - x = 3[/tex]

(ii) [tex]y + 9\cdot x = 3[/tex]

(iii) [tex]y -5\cdot x = 3[/tex]

(iv) [tex]y +2\cdot x = 3[/tex]

(v) [tex]y -11\cdot x = 3[/tex]

Please see this question related to Functions: https://brainly.com/question/22105858

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