The coordinates below represent two linear equations.
How many solutions does this system of equations have?
Line 1
x y
–4 3
–2 4
Line 2
x y
0 8
2 6
A.
0
B.
exactly 1
C.
exactly 2
D.
infinitely many
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OpenStudy (anonymous):
@AlexandervonHumboldt2
OpenStudy (anonymous):
Do you want an explanation or the answer?
OpenStudy (anonymous):
@Directrix @Godlovesme
OpenStudy (anonymous):
would you like to expain it so i can "get it"
OpenStudy (anonymous):
your statement last time confused me so much
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OpenStudy (anonymous):
much more than i was
OpenStudy (anonymous):
let's say we have two equations that represent lines:
y=5x+2
y=2x+1
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
If they asked you how many solutions this has, could you do it?
OpenStudy (anonymous):
i would think 2
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OpenStudy (anonymous):
A solution graphically means how many times the lines intersect.
OpenStudy (anonymous):
meaning how many times the lines meet right?
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
|dw:1419970190576:dw|
OpenStudy (anonymous):
So if we wanted to know how many solutions (for example)
y=5x+2
y=2x+1
These two equations have, we would say their y is the same, and simply equate them.
5x+2 = 2x+1
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