X-2y=8

4x+y=5

Solve linear systems by Multiplying

x = 2 and y = - 3

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8 ... (1)

and 4x + y = 5 ... (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2 (4x + y) = 5 * 2

⇒ 8x + 2y = 10 ... (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8 + 10

⇒ x - 2y + 8x + 2y = 8 + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8

⇒ 2y = 2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴ x = 2 and y = - 3