Final answer:
To solve the system of equations -6x - 2y = -12 and 3x - by = 9, we need to eliminate one variable so that we can solve for the other. Let's start by multiplying the second equation by -2 to make the coefficients of y opposite. Now we can add the two equations together and simplify further.
Step-by-step explanation:
To solve the system of equations -6x - 2y = -12 and 3x - by = 9, we need to eliminate one variable so that we can solve for the other. Let's start by multiplying the second equation by -2 to make the coefficients of y opposite:
-2(3x - by) = -2(9) => -6x + 2by = -18
Now we can add the two equations together:
-6x - 2y + (-6x + 2by) = -12 + (-18) => -6x - 6x - 2y + 2by = -30
-12x + (2b-2)y = -30
We can simplify further, but without knowing the value of 'b', we cannot solve for 'x' and 'y' exactly. To solve the system completely, we need either the value of 'b' or a third equation that includes 'x' and 'y'.