SOLUTION: Find how many solutions each system has for this: -2x+y=6, y=x-8

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Question 1174657: Find how many solutions each system has for this:
-2x+y=6, y=x-8
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
.....eq.1
......eq.2
--------------------------substitute from eq.2 in eq.1

.....eq.1 ...solve for

go to
......eq.2, substitute

Answer by ikleyn(52788)   (Show Source):
You can put this solution on YOUR website!
.

To answer this question, you do not need to solve the system.

From the given equations, you see that the first equation has the slope of 2,
while the second equation has the slope of 1.

It is just enough to conclude that the system has one and only one solution
(the straight lines are not parallel and intersect in one point).

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See the lesson
    - Geometric interpretation of the linear system of two equations in two unknowns
in this site.