Question

V, N, and K are collinear with K between N and V. If NV= -11x+220, VK= 3x+6, and KN= 18x-10, solve for x

Answer 1

$NV=VK + KN \\ -11x+220= 3x+6+ 18x-10 \\ -11x + 220 = 21x - 4 \\ 220 = 32x - 4 \\ 32x = 224 \\ \\ \boxed { x = 7}$