SOLUTION: Solve y=-x+8 and x+y=7 A) This system has no solutions. B) This system has infinitely many solutions C) (1/2, 15/2) D) (-1/2, 17/2)

Algebra ->  Linear-equations -> SOLUTION: Solve y=-x+8 and x+y=7 A) This system has no solutions. B) This system has infinitely many solutions C) (1/2, 15/2) D) (-1/2, 17/2)      Log On


   

Question 416409: Solve y=-x+8 and x+y=7
A) This system has no solutions.
B) This system has infinitely many solutions
C) (1/2, 15/2)
D) (-1/2, 17/2)
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve y=-x+8
and x+y=7
---
Slope forms:
y = -x+8
y = -x+7
---
The slopes are the same and intercepts
are different so the lines are parallel.
Ans: A
--------------
Cheers,
Stan H.
===============
A) This system has no solutions.
B) This system has infinitely many solutions
C) (1/2, 15/2)
D) (-1/2, 17/2)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Solve 

y = -x+8 and x+y=7 OR y = -x +7

Line are parallel, both with slopes = -1

There is no solution (lines have no point in common)