MEDAL Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.

x + y = -8
x - y = 14

Question

MEDAL Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.

x + y = -8 
x - y = 14

anonymous · Answer

if you choose to add the two equations, what will happen ?

anonymous · Answer

x + y = -8 --- (1)
x - y = 14 --- (2)
(1) - (2):
x + y - x + y = -8 - 14
2y = -22
y = -11
Substitute the value of y into (1):
x - 11 = -8
x = 3
Thus, x = 3, y = -11.

anonymous · Answer

Didn't she say by "using set notation to express their solution sets"?

anonymous · Answer

thank you !