Question

Below u, v, w and x represent different integers, where u = (-4) and x ≠ 1. By using following equations, find each of the values

u x v=u
x × w =w
u + x = w

(a) v

(b) w

(c) x

Explain your reason, using the properties of integers

Answer 1

(a) As u × v = u and u = -4 ∴ -4 × v = -4

⇒ v = l (Multiplicative identity)

(b) As x × w = w. Given that x ≠ 1

∴ x × w = w is only possible when w = 0

(c) As u + x = w, Put u = – 4 and w = 0

∴ -4 + x = 0

⇒ x = 4 (Transposing -4 to R.H.S.)