Question

Find x and y, if `2[(1, 3),(0, x)] + [(y, 0),(1, 2)] = [(5, 6),(1, 8)]`

Answer 1

`2[(1, 3),(0, x)] + [(y, 0),(1, 2)] = [(5, 6),(1, 8)]`

⇒ `[(2, 6),(0, 2x)] + [(y, 0),(1, 2)] = [(5, 6),(1, 8)]`

⇒ `[(2 + y, 6),(1, 2x + 2)] = [(5, 6),(1, 8)]`

Comparing the corresponding elements of these two matrices, we have:

2 + y = 5

⇒ y = 3

2x + 2 = 8

⇒ x = 3

∴ x = 3 and y = 3