Question

Y = –x + 4
x + 2y = –8
How many solutions does this linear system have?

Answer 1

Explanation:

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

Answer 2

y = - x + 4
x + 2 ( -x + 4 )=-8
x- 2 x + 8 = -8
- x = - 8 - 8
- x = - 16
x = 16
y = - 16 + 4
y = - 12
The system has one solution ( x, y ) = ( 16, - 12 ).