Question

What is the solution of the system below? x = –3y – 4 –3y = 2x – 7 z = –6x + y

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution of the system, we need to solve the equations simultaneously.

From the first equation x = -3y - 4, we can substitute this value of x in the second equation:
-3y = 2(-3y - 4) - 7
-3y = -6y - 8 - 7
-3y + 6y = -15
3y = -15
y = -15/3
y = -5

Now that we have the value of y, we can substitute it back into the first equation to find x:
x = -3(-5) - 4
x = 15 - 4
x = 11

Now, substituting the values of x and y into the third equation:
z = -6(11) + (-5)
z = -66 - 5
z = -71

Therefore, the solution of the system is x = 11, y = -5, z = -71.