Question

X + y = -6
3x - y = -2

Answer 1

x = -2

y = -4

Explanation:

x + y = -6 Eq. 1

3x - y = -2 Eq. 2

From Eq. 1

x = -6 - y Eq. 3

Replacing Eq. 3 in Eq. 2

3(-6-y) - y = -2

(3*-6 + 3*-y) - y = -2

(-18 - 3y) - y = -2

-18 - 4y = -2

-4y = 18 - 2

-4y = 16

y = 16/-4

y = -4

From. Eq. 3

x = - 6 - y

x = -6 -(-4)

x = -6 + 4

x = - 2

Check:

From Eq. 2:

3x - y = -2

3*-2 -(-4) = -2

-6 + 4 = -2