What is the solution of the system of equations. 4x-5y=-17, x+6y=61

To solve this system, we can use substitution.

x + 6y = 61

x = 61 - 6y

Now we substitute into the other equation.

4 (61 - 6y) - 5y = - 17

244 - 24y - 5y = - 17

244 - 29y = - 17

29y = 261

y = 9

Now we find x.

x + 6 (9) = 61

x + 54 = 61

x = 7

That means the solution to this system is (7, 9)