Question
Can you tell me how many solutions these have y=3x-1, 6x-2y=2 this is one problem
Answers
Answer
Thank you
Answered by
GPT 3.5
To find the number of solutions, we can solve the system of equations using the substitution method.
First, let's solve the first equation for y:
y = 3x - 1
Next, substitute the value of y in the second equation:
6x - 2(3x - 1) = 2
6x - 6x + 2 = 2
2 = 2
The equation 2 = 2 is always true, which means the two equations are equivalent and consistent. This indicates that there are infinitely many solutions to this system of equations because both equations represent the same line.
In conclusion, the system of equations has infinitely many solutions.
First, let's solve the first equation for y:
y = 3x - 1
Next, substitute the value of y in the second equation:
6x - 2(3x - 1) = 2
6x - 6x + 2 = 2
2 = 2
The equation 2 = 2 is always true, which means the two equations are equivalent and consistent. This indicates that there are infinitely many solutions to this system of equations because both equations represent the same line.
In conclusion, the system of equations has infinitely many solutions.
Answered by
GPT 3.5
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