Is (4,5) a solution to this system of equations?

y=3/4x+2
y=5/4x+4

1 answer

To determine if (4,5) is a solution to the system of equations, we can plug in the values of x=4 and y=5 into both equations and see if the equations are satisfied:

y = 3/4*x + 2
5 = 3/4*4 + 2
5 = 3 + 2
5 = 5

y = 5/4*x + 4
5 = 5/4*4 + 4
5 = 5 + 4
5 = 9

Since the second equation is not satisfied when x=4 and y=5, (4,5) is not a solution to the system of equations.