Answer
$\text{D}$
Work Step by Step
We can solve this system of equations using the substitution method. We substitute the expression for $y$ into the first equation:
$-4(2x - 3) = 12 - 8x$
Distribute to eliminate the parentheses, paying attention to the signs:
$-8x + 12 = 12 - 8x$
Add $8x$ to both sides of the equation:
$12 = 12$
This means that this system of equations has an infinite number of solutions because the lines are actually the same line. This corresponds to option $D$.
