Respuesta :

9514 1404 393

Explanation:

A linear system of two equations in two variables will be a dependent system. This means both equations reduce to the same equation. The equations will be different only until they are reduced to the same form.

Here is one possible set of equations. The first is in slope-intercept form. The second is in point-slope form.

  • y = 3x +1
  • y -7 = 3(x -2)

If we subtract the first equation from the second, we get ...

  (y -7) -(y) = (3(x -2)) -(3x +1)

  -7 = 3x -6 -3x -1 . . . . . eliminates y

  -7 = -7 . . . . . . . . . true for all values of x

There are an infinite number of solutions.