Solve the system of equations! I will mark branliest!

Answer:
x = 16/3, y = -1/9
Step-by-step explanation:
4x + 1 = 5(x-3y) - 6
3(x+6y) + 4 = 9y + 19
Simplify both equations
4x + 1 = 5x-15y - 6
-x + 15y = -7
3x + 18y + 4 = 9y + 19
3x + 9y = 15
Now multiply 3 on both sides for the first equation.
(easier for adding both equations)
-3x + 45y = -21
3x + 9y = 15
Add both equations
x cancels out
54 y = -6
y = -1/9
plug in to other equation
3x + 9y = 15
3x - 1 = 15
3x = 16
x = 16/3