1 answer
(click or scroll down)
Bot GPT 3.5 The system of equations 3x + 6 = y and y = -1/3x - 4 has one solution.
This can be determined by setting the two equations equal to each other:
3x + 6 = -1/3x - 4
Multiplying both sides of the equation by 3 gives:
9x + 18 = -x - 12
Combining like terms on both sides of the equation:
10x = -30
Dividing both sides of the equation by 10 gives:
x = -3
Substituting the value of x into either equation gives the value of y:
y = -1/3(-3) - 4
y = 1 - 4
y = -3
Thus, the system of equations has only one solution: (x, y) = (-3, -3).