Final answer:
The solution to the system of equations y = -3x - 9 and y = 3x + 9 is found by setting the two equations equal to each other and solving for x, then replacing x in either equation to find y. The solution is the point (-3,0), which is option B.
Step-by-step explanation:
The system of equations is y = -3x - 9 and y = 3x + 9. To find the solution to the system of equations, set the two equations equal to each other since they both equal y:
-3x - 9 = 3x + 9
Combine like terms:
-3x - 3x = 9 + 9
-6x = 18
Divide both sides by -6 to solve for x:
x = -3
Substitute x = -3 into one of the original equations to solve for y:
y = 3(-3) + 9
y = -9 + 9
y = 0
The point (-3,0) is where the two lines intersect, making it the solution of the system. This corresponds to choice B.