solve the system of equations

x+y=1
x-y=5

X + Y = 1

X - Y = 5
Add the 2 Eqs and get:
2X + 0 = 6,
2X = 6,
X = 3.

Substitute 3 for X IN Eq1:
3 + Y = 1,
Y = 1 - 3 = -2.

Solution set: (X , Y) = (3 , -2).