Respuesta :

Answer:

Option C: 7x + 3 = x - 3

Step-by-step explanation:

We have to manually solve.

Option A:  [tex]7x+3=x+3[/tex]

[tex]7x - x = 3 - 3\\6x = 0\\x = 0[/tex]          -------------> False

Option B: [tex]7x-3=x-3[/tex]

[tex]7x-x=3-3\\6x=0\\x=0[/tex] ----------> False

Option C:  [tex]7x+3=x-3[/tex]

[tex]7x-x=-3-3\\6x=-6\\x=-1[/tex]--------------------> True

Option D: [tex]7x-3=x+3[/tex]

[tex]7x-x=3+3\\6x=6\\x=1[/tex]--------------> False

Hence, after solving, it is shown that option C is the correct answer.

sqdancefan

Answer:

  C.  7x +3 = x -3

Step-by-step explanation:

Such an equation is graphed by resolving it into two equations:

  p = q

becomes ...

  y = p   and   y = q

__

use answer choices for a clue

The left-side expression in every answer choice has an x-coefficient of 7. When those expressions are written in equation form, they match the slope-intercept form ...

  y = mx +b . . . . . . . line with slope m and y-intercept b

The line with slope 7 on the graph has a y-intercept of +3. Its equation will be ...

  y = 7x +3

__

The right-side expression in the answer choices matches that of a line with a slope of 1. The line on the graph with a slope of 1 has a y-intercept of -3. In slope-intercept form, it is ...

  y = x -3

The system of equations corresponding to the graph is ...

  • y = 7x +3
  • y = x -3

In the original p = q form, this is ...

  7x +3 = x -3 . . . . . . . matches choice C

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