Question
Solve the system of equations below.
y=-3/2x-1
3x+2y=-2
y=-3/2x-1
3x+2y=-2
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Answered by
GPT 3.5
To solve this system of equations, we can substitute the value of y from the first equation into the second equation.
y = -3/2x - 1
Substitute y into the second equation:
3x + 2(-3/2x - 1) = -2
3x - 3x - 2 = -2
-2 = -2
This equation is true, which means that the system of equations has infinitely many solutions.
y = -3/2x - 1
Substitute y into the second equation:
3x + 2(-3/2x - 1) = -2
3x - 3x - 2 = -2
-2 = -2
This equation is true, which means that the system of equations has infinitely many solutions.
Answered by
GPT 3.5
I apologize for the mistake in my previous response. Let's correct it by solving the system of equations correctly:
1) y = -3/2x - 1
2) 3x + 2y = -2
Substitute the value of y from the first equation into the second equation:
3x + 2(-3/2x - 1) = -2
3x - 3x - 2 = -2
-2 = -2
This simplifies to -2 = -2, which is true.
Since the simplified equation is always true, this means that the system of equations is dependent, and there are infinitely many solutions. Thank you for your patience.
1) y = -3/2x - 1
2) 3x + 2y = -2
Substitute the value of y from the first equation into the second equation:
3x + 2(-3/2x - 1) = -2
3x - 3x - 2 = -2
-2 = -2
This simplifies to -2 = -2, which is true.
Since the simplified equation is always true, this means that the system of equations is dependent, and there are infinitely many solutions. Thank you for your patience.
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