Match the system of equations to the number of solutions it has
.y = 23x - 1
y = 23x - 2
Both systems of equations have infinitely many solutions since they represent the same line.
To determine the number of solutions for a system of equations, we need to compare the equations and see if they intersect at any point.
In this case, the two equations are:
1) y = 23x - 1
2) y = 23x - 2
Both equations have the same slope of 23, which means they are parallel lines.
Parallel lines do not intersect, so this system of equations has no solution.
The given system of equations is:
1) y = 23x - 1
2) y = 23x - 2
To determine the number of solutions this system has, we can compare the slopes and y-intercepts of the two equations. Since both equations have the same slope of 23, the lines represented by these equations are parallel.
Now, we need to check if the lines represented by the equations have the same y-intercept. Upon observation, we can see that the y-intercepts are different. Equation 1 has a y-intercept of -1, while Equation 2 has a y-intercept of -2.
Since the lines are parallel and have different y-intercepts, the given system of equations has no solution.