y=23x -1 and y = 23x -2 : What solution are these equations: one solution; no solution; infinite solution

Answer 1

The equations you provided are:

1. \( y = 23x - 1 \)
2. \( y = 23x - 2 \)

Both equations are in slope-intercept form ( \( y = mx + b \) ), where \( m \) is the slope and \( b \) is the y-intercept.

1. The slope of the first equation is 23, and the y-intercept is -1.
2. The slope of the second equation is also 23, but the y-intercept is -2.

Since both equations have the same slope (23) but different y-intercepts (-1 and -2), they represent parallel lines.

Parallel lines never intersect, which means that there are no solutions for this system of equations.