How many solutions are there for the linear system x – y = –5 and x + y = 1?

Answer 1

Eq1: x - y = -5
Eq2: x + y = 1
Add the Eqs:
2x = -4
X = -2.

In Eq2, substitute -2 for X:
-2 + y = 1
Y = 3.

Solution = (x,y) = (-2,3).
The lines intersect @ only 1 point.Therefore, we have only one solution.