How many solutions does the system of equations have?
8x−6y=48
8x+6y=48
Responses
none
none - no response given
two
two - no response given
infinite
infinite - no response given
one
show your work
To find the number of solutions, we can compare the two equations:
8x - 6y = 48
8x + 6y = 48
Adding the two equations together gives:
16x = 96
x = 6
Substitute x = 6 back into the first equation:
8(6) - 6y = 48
48 - 6y = 48
-6y = 0
y = 0
Therefore, the system of equations has one unique solution: x = 6 and y = 0.