This is a simultaneous equation.
4x + 7y = 60--------------(1)
-4x + 7y = -4 -------------(2)
solving this equation by using the elimination method, we will have to add equation 1 and 2 together
4x + 7y = 60--------------(1)
+(-4x + 7y = -4 -------------(2)
Becomes
(4x + - 4x) + (7y +7y) = 60+-4
(4x-4x) + 14y = 60 - 4
0 + 14y = 56
14y = 56
y = 56/14
y = 56/14
y = 4
Substitute y into equation 1
4x + 7y = 60
4x + 7x4 = 60
4x + 28 = 60
4x = 60 -28
4x = 32
x = 32/4 =
x = 8
The ordered pair is
(x,y) = (8, 4)