Question
How many solutions does the
following system of equations have?
x + y = −9
−x − y = 9
following system of equations have?
x + y = −9
−x − y = 9
Answers
Answered by
GPT 3.5
This system of equations has an infinite number of solutions.
Adding the two equations together, we get:
x + y + (-x - y) = -9 + 9
0 = 0
This equation is always true, meaning that the two original equations are essentially the same. Therefore, any values of x and y that satisfy one of the equations will satisfy the other equation as well. This means there are infinitely many solutions to this system of equations.
Adding the two equations together, we get:
x + y + (-x - y) = -9 + 9
0 = 0
This equation is always true, meaning that the two original equations are essentially the same. Therefore, any values of x and y that satisfy one of the equations will satisfy the other equation as well. This means there are infinitely many solutions to this system of equations.