is there no solution, infinite solutions, or one solution to the following system of equations?
y = 23x - 1
y = 23x - 2
The given system of equations is:
y = 23x - 1
y = 23x - 2
By comparing the two equations, we can see that they have the same slope (23), indicating that the lines are parallel.
Since parallel lines never intersect, there is no solution to this system of equations.
To determine the number of solutions of the given system of equations, let's compare the slopes and y-intercepts of the equations.
The given equations are:
1) y = 23x - 1
2) y = 23x - 2
Both equations have the same slope (23), which means the lines are parallel.
Since parallel lines never intersect, the system of equations has no solution.
To determine if there is a solution, infinite solutions, or one solution to the system of equations, we can compare the equations and look for any inconsistencies.
The given system of equations is:
y = 23x - 1 ...(Equation 1)
y = 23x - 2 ...(Equation 2)
Since the right-hand sides of both equations are equal (both are equal to 23x - 1), we can conclude that these two equations represent the same line. They have the same slope (23) and the same y-intercept (-1).
Since the two equations represent the same line, the system of equations has infinitely many solutions. Any value of x and the corresponding value of y that satisfies either equation will satisfy the other equation as well.
Therefore, the system of equations has infinite solutions.