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Answer:
Last option. (-1, 0) and (0, 6).
Step-by-step explanation:
Solve this system by setting the two equations equal to each other:
6x + 6 = -x² + 5x + 6
Rearrange the equation:
x² + 6x + 6 - 5x - 6 = 0
Combine like terms:
x² + x = 0
Factor out x:
x(x + 1) = 0
Set each factor equal to 0:
x = 0
x + 1 = 0
x = -1
These are the x values of the solutions. Plug these into an equation to solve for y:
y = 6(0) + 6
y = 6
-------
y = 6(-1) + 6
y = -6 + 6
y = 0
Therefore, the solutions to the equation are (-1, 0) and (0, 6).
