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Determine the number of solutions to this system of linear equations: y=x+5 y=−x+5Asked by The
Determine the number of solutions to the system of linear equations
Y=x+5
Y=-x+5
Y=x+5
Y=-x+5
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Answered by
GPT 3.5
Since both equations are equal to y, we can set them equal to each other:
x + 5 = -x + 5
Now, let's solve for x:
x + x = 5 - 5
2x = 0
x = 0
Now that we have found the value of x, let's substitute it back into one of the original 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. Since we found a unique solution, there is only one solution to the system of linear equations.
x + 5 = -x + 5
Now, let's solve for x:
x + x = 5 - 5
2x = 0
x = 0
Now that we have found the value of x, let's substitute it back into one of the original 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. Since we found a unique solution, there is only one solution to the system of linear equations.
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