Question

Without​ graphing, answer the questions for the following linear system.

y−x=−3
x+y=8
​(a) Is the system​ inconsistent, or are the equations​ dependent, or​ neither?
​(b) Is the graph a pair of intersecting​ lines, a pair of parallel​ lines, or one​ line?
​(c) Does the system have one​ solution, no​ solution, or an infinite number of​ solutions?

Answer 1

its c

Explanation:

Answer 2

We don`t have to graph, but we can solve this system:
y - x = - 3
x + y = 8 ⇒ y = 8 - x
----------------------------
8 - x - x = - 3
- 2 x = - 11, x = - 11 : ( - 2 ) = 5.5
y = 8 - 5.5 = 2.5
System is independent: lines meet in one point. There is only one solution.
Answers:
( a ) The system is neither inconsistent, nor dependent.
( b ) A pair of intersecting lines.
( c ) One solution.