Question

Find the values of x, y and z from the following equation

`[(x + y, 2),(5 + z, xy)] = [(6, 2),(5, 8)]`

Answer 1

x + y = 6 ...(1)

5 + z = 5

z = 5 – 5 = 0

xy = 8

y = `8/x`

Substitute the value of y = `8/x` in (1)

`x + 8/x` = 6

x² + 8 = 6x

x² – 6x + 8 = 0

(x – 4) (x – 2) = 0

∴ x – 4 = 0 or x – 2 = 0

x = 4 or x = 2

y = `8/4` = 2 or y = `8/2` = 4

∴ The value of x, y and z are 4, 2, 0 or 2, 4, 0