Solve this system of equations by inspection to determine the system type. x+5y=25 y=15x+25 (1 point) Responses The system is inconsistent and dependent. The system is inconsistent and dependent. The system is consistent and dependent. The system is consistent and dependent. The system is inconsistent and independent. The system is inconsistent and independent. The system is consistent and independent.
To solve this system of equations by inspection, we can see that the second equation can be rearranged to y = 15x + 25.
Now we can substitute this expression for y into the first equation:
x + 5(15x + 25) = 25
x + 75x + 125 = 25
76x = -100
x = -100/76
x = -25/19
Now we can substitute x back into the second equation to find y:
y = 15(-25/19) + 25
y = -375/19 + 475/19
y = 100/19
Therefore, the solution to the system of equations is x = -25/19 and y = 100/19.
Since the system has a unique solution, it is consistent and independent.