Solving with elimination practice all the system of equations 6x - 5y = 27 3x + 5y = 36

To solve this system of equations using elimination, we need to add the two equations together to eliminate one of the variables.

Adding the equations:
(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63

Now, we can solve for x by dividing both sides by 9:
x = 7

Next, we substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
6(7) - 5y = 27
42 - 5y = 27
-5y = -15
y = 3

Therefore, the solution to the system of equations is x = 7 and y = 3.