Question

Find the solution of this system of equations
- 2x + 10y = -22
-2x - 4y = 6

Answer 1

x = 1, y = -2

Explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.