Y= –x + 4
x + 2y = –8
how many solutions does this linear system have
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions

Y = -x + 4so sub in -x + 4 in for y in the other equation

x + 2y = -8
x + 2(-x + 4) = -8
x - 2x + 8 = -8
x - 2x = -8 - 8
-x = -16
x = 16

y = -x + 4
y = -16 + 4
y = - 12

one solution (16,-12)