Question

is this no solution, infinite solutions, or one solution. y = 23x - 1, y = 23x - 2

Answer 1

To determine if the system of equations has no solution, infinite solutions, or one solution, we can compare the two equations.

The equations are:

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

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

- The slope of both lines is \( 23 \), meaning they are parallel.
- The y-intercepts are different: for the first equation, the y-intercept is \( -1 \), and for the second equation, it is \( -2 \).

Since the lines are parallel and have different y-intercepts, they will never intersect. Therefore, the system of equations has **no solution**.