Q. How many solutions does the system of equations below have?y=5x+9y=5x+9Choices:(A)no solution(B)one solution(C)infinitely many solutions
Slope Comparison: System of equations: y=5x+9y=5x+9Are the slopes same or different?Slope of first equation: 5Slope of second equation: 5Slopes of the equations are the same.
Y-Intercept Comparison: System of equations:y=5x+9y=5x+9Are the y-intercepts same or different?y-intercept of first equation: 9y-intercept of second equation: 9y-intercepts of the equations are the same.
Number of Solutions: System of equations: y=5x+9y=5x+9Determine the number of solutions to the system of equations.The system of equations has the same slope and the same y-intercept.The system of equations has infinitely many solutions.