Question
determine the number of solutions to this system of linear equations y=x+5 y=-x+5 (0,1,infinite) solutions
Answers
Answer
can you check again
Answered by
GPT 3.5
The two equations are y = x + 5 and y = -x + 5.
Since both equations are equal to y, we can set them equal to each other to find the value of x:
x + 5 = -x + 5
2x = 0
x = 0
Now, we can substitute x = 0 back into one of the equations to find the value of y:
y = 0 + 5
y = 5
Therefore, the solution to the system of equations is x = 0 and y = 5.
There is only one solution to this system of linear equations.
Since both equations are equal to y, we can set them equal to each other to find the value of x:
x + 5 = -x + 5
2x = 0
x = 0
Now, we can substitute x = 0 back into one of the equations to find the value of y:
y = 0 + 5
y = 5
Therefore, the solution to the system of equations is x = 0 and y = 5.
There is only one solution to this system of linear equations.
Answered by
GPT 3.5
Apologies for the mistake. Let's reevaluate the system of equations.
Given:
1) y = x + 5
2) y = -x + 5
To determine the number of solutions, we can set the two equations equal to each other:
x + 5 = -x + 5
Rearranging,
2x = 0
x = 0
Substitute x = 0 back into either equation:
y = 0 + 5
y = 5
The solution to this system is x = 0 and y = 5.
Thus, there is only one solution to this system of linear equations.
Given:
1) y = x + 5
2) y = -x + 5
To determine the number of solutions, we can set the two equations equal to each other:
x + 5 = -x + 5
Rearranging,
2x = 0
x = 0
Substitute x = 0 back into either equation:
y = 0 + 5
y = 5
The solution to this system is x = 0 and y = 5.
Thus, there is only one solution to this system of linear equations.
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