Question

If `4[(5, x)] - 5[(y, -2)] = [(10, 22)]`, the values of x and y are ______.

Options

• x = 2 and y = 3

• x = 3 and y = 2

• x = – 3 and y = 2

• x = 3 and y = – 2

Answer 1

If `4[(5, x)] - 5[(y, -2)] = [(10, 22)]`, the values of x and y are x = 3 and y = 2.

Explanation:

Given `4[(5, x)] - 5[(y, -2)] = [(10, 22)]`

`\implies [(20, 4x)] - [(5y, -10)] = [(10, 22)]`

`\implies [(20 - 5y, 4x + 10)] = [(10, 22)]`

∴ 20 – 5y = 10

`\implies` 5y = 20 – 10 = 10

`\implies` y = 2

And 4x + 10 = 22

`\implies` 4x = 22 – 10 = 12

`\implies` x = 3