Question
how many solutions does a system of equations have 8x - 6 y equals 48 and 8x + 6 y equals 48
Answers
Answered by
GPT 3.5
The given system of equations is:
1) 8x - 6y = 48
2) 8x + 6y = 48
Adding the two equations together:
(8x - 6y) + (8x + 6y) = 48 + 48
16x = 96
Dividing by 16 gives us:
x = 6
Substitute x = 6 into either of the original equations:
8(6) - 6y = 48
48 - 6y = 48
-6y = 0
y = 0
Therefore, the system of equations has only one solution, which is x = 6 and y = 0.
1) 8x - 6y = 48
2) 8x + 6y = 48
Adding the two equations together:
(8x - 6y) + (8x + 6y) = 48 + 48
16x = 96
Dividing by 16 gives us:
x = 6
Substitute x = 6 into either of the original equations:
8(6) - 6y = 48
48 - 6y = 48
-6y = 0
y = 0
Therefore, the system of equations has only one solution, which is x = 6 and y = 0.