2$x+2y$ - 7y = 6
2x + 4y - 7y = 6
2x - 3y = 6
y = $2x-6$ / 3

5$2x+y$ - x = 2y + 60
10x + 5y - x = 2y + 60
9x + 3y = 60
3y = 60 - 9x
y = $60-9x$ / 3
y = 20 - 3x

Now we can substitute the value of y from the first equation into the second equation:

$2x-6$ / 3 = 20 - 3x
2x - 6 = 60 - 9x
2x + 9x = 60 + 6
11x = 66
x = 66 / 11
x = 6

Now we can substitute the value of x back into the first equation to find y:

y = $2(6)-6$ / 3
y = $12-6$ / 3
y = 6 / 3
y = 2

So, the solution to the system of equations is x = 6 and y = 2.