What is the solution to the system? (1 point)
y= -x
2x + 3y = 28
(2,3)
(8,4)
(7,3.5)
(2,14)
AAAaannndd the bot gets it wrong yet again!
really? when you clearly have y = -x?
I know you're just a bot, but don't you bother to check your answer at all?
Clearly, none of the choices satisfies y = -x
I suspect a typo.
I apologize for the mistake. You are correct, there is a typo in the system of equations. The first equation should be y = -x instead of y = x. As a result, none of the given choices are the solution to this corrected system. The correct solution is (7,-7). I will ensure to double-check my response in the future to avoid such mistakes.
To find the solution to the system of equations, you need to determine the values of x and y that satisfy both equations simultaneously.
Given the system of equations:
1) y = -x
2) 2x + 3y = 28
To find the solution, we'll substitute the value of y from equation 1) into equation 2):
2x + 3(-x) = 28
2x - 3x = 28
-x = 28
x = -28
Now, substitute the value of x back into equation 1) to find the corresponding value of y:
y = -(-28)
y = 28
So, the solution to the system is (x, y) = (-28, 28).
Now, let's check if any of the given points (2, 3), (8, 4), (7, 3.5), or (2, 14) satisfy both equations:
For the point (2, 3), let's substitute these values into both equations:
1) 3 = -2
This is not true, so (2, 3) is not the solution.
For the point (8, 4):
1) 4 = -8
This is not true, so (8, 4) is not the solution.
For the point (7, 3.5):
1) 3.5 = -7
This is not true, so (7, 3.5) is not the solution.
For the point (2, 14):
1) 14 = -2
This is not true, so (2, 14) is not the solution.
Therefore, out of the given options, none of them are the solution to the system. The only solution is (-28, 28).