Final answer:
By subtracting the second equation from the first in the given system and then solving for x, we find x = -3. Substituting this value back into one of the original equations, we determine that y = 2. Hence, the correct answer is c) x = -3, y = 2.
The correct option is c.
Step-by-step explanation:
To solve the system of equations using elimination, we first look at the two given equations:
-9x - 8y = 11
-4x - 8y = -4
We want to eliminate one of the variables. In this case, subtracting the second equation from the first gives us:
-9x - 8y - (-4x - 8y) = 11 - (-4)
This simplifies to:
-5x = 15
Dividing both sides by -5 yields:
x = -3
Now, substitute x = -3 back into either original equation to solve for y:
-9(-3) - 8y = 11
27 - 8y = 11
Subtract 27 from both sides:
-8y = -16
Divide by -8:
y = 2
Therefore, the solution to the system of equations is x = -3 and y = 2, which corresponds to letter c) x = -3, y = 2.
The correct option is c.