Final answer:
The solution to the system of equations is (2, 1).
Step-by-step explanation:
To solve the system of equations:
y = 6x - 11
-2x - 3y = -7
We can use substitution or elimination method.
Using substitution method:
1. From the first equation, we can express y in terms of x as:
y = 6x - 11
2. Substitute this expression for y in the second equation:
-2x - 3(6x - 11) = -7
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -40
x = 2
3. Substitute this value of x into the first equation to find y:
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is (2, 1), which corresponds to option D.