Eq1: 3x + 4y = 17
Eq2: 4x + y = 14
Eq2 x 4: 16x + 4y = 56
Subtract Eq1 from this to isolate x: 16x + 4y - 3x - 4y = 56 - 17
Simplify: 13x = 39
Solve for x: x = 3
Substitute x into Eq1: 3(3) + 4y = 17
9 + 4y = 17
4y = 8
y = 2
Check in Eq2: 4(3) + (2) = 14
12 + 2 = 14