Answer:
To find the coordinates of the point of intersection of the given equations, we need to solve the system of equations simultaneously. We can use the elimination method to do this:
11x - 6y = 2 (multiply both sides by 5)
-8x + 5y = 3 (multiply both sides by 11)
55x - 30y = 10
-88x + 55y = 33
Adding the two equations, we get:
-33x + 25y = 43
Solving for y, we get:
y = (33x + 43)/25
Substituting this expression for y into either of the original equations and simplifying, we get:
x = -1/7
Substituting this value of x into the equation for y, we get:
y = 1/35
Therefore, the coordinates of the point of intersection are (-1/7, 1/35).