Final answer:
To solve the system of equations y = 6x - 9 and y = -3x, we can set the two equations equal to each other and solve for x. The solution to the system is (1, -3).
Step-by-step explanation:
To solve the system of equations y = 6x - 9 and y = -3x, we can set the two equations equal to each other:
6x - 9 = -3x
Next, we can simplify and solve for x:
6x + 3x = 9
9x = 9
x = 1
Substituting x = 1 into either of the original equations, we can find y:
y = 6(1) - 9
y = 6 - 9
y = -3
Therefore, the solution to the system is (1, -3).