y = –1/2x + 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

Verified Answer :

y = -1/2x + 4 . . . . . . . . (1)
x + 2y = -8 . . . . . . . . (2)
putting (1) into (2), we have
x + 2(-1/2x + 4) = -8
x - x + 8 = -8
8 = -8
Therefore, the system has no solution.

The ANSWER TO THIS MATH QUESTION A