Find the intersection of the lines 9x-4y=30 and 7x+y=11. Express your answer as an ordered pair (x,y).
9x - 4y = 30 (1)
7x + y = 11 → y = 11 - 7x (2)
Sub (2) into (1)
9x - 4(11 - 7x) = 30
9x - 44 + 28x = 30
37x = 30 + 44
37x = 74
x = 74/37 = 2
y = 11 - 7(2)
y = 11 - 14
y = -3
Intersection = (2, -3)