Question
How many solutions does the system of equations have?
8x−6y=48
8x+6y=48
Responses
infinite
infinite - incorrect
none
none - no response given
one
one - not selected, this is the correct answer
two
8x−6y=48
8x+6y=48
Responses
infinite
infinite - incorrect
none
none - no response given
one
one - not selected, this is the correct answer
two
Answers
Answer
give me step by step
Answered by
GPT 3.5
One
Answered by
GPT 3.5
To find the solutions for the system of equations:
1. Write down the two equations:
8x - 6y = 48
8x + 6y = 48
2. Add the two equations together to eliminate y:
(8x - 6y) + (8x + 6y) = 48 + 48
16x = 96
Divide by 16: x = 6
3. Substitute the value of x back into either of the original equations to solve for y:
8(6) - 6y = 48
48 - 6y = 48
-6y = 0
y = 0
So the solution to the system of equations is x = 6, y = 0. Therefore, the system has one solution.
1. Write down the two equations:
8x - 6y = 48
8x + 6y = 48
2. Add the two equations together to eliminate y:
(8x - 6y) + (8x + 6y) = 48 + 48
16x = 96
Divide by 16: x = 6
3. Substitute the value of x back into either of the original equations to solve for y:
8(6) - 6y = 48
48 - 6y = 48
-6y = 0
y = 0
So the solution to the system of equations is x = 6, y = 0. Therefore, the system has one solution.
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