Answer: X = 2, and Y = 1.
Explanation:
To solve this system of equations, we can use the substitution method. We can solve for one variable in one equation and substitute that expression into the other equation. Then we can solve for the remaining variable.
From the first equation, we can solve for y:
y = 6x - 11
Now we can substitute this expression for y in the second equation:
2x + 3y = 7
2x + 3(6x - 11) = 7
Simplifying this equation, we get:
2x + 18x - 33 = 7
20x = 40
x = 2
Now we can use this value of x to find y:
y = 6x - 11
y = 6(2) - 11
y = 1
Therefore, the solution to the system of equations is (2, 1).