example of an equation in two variables with 0 solutions.
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OpenStudy (anonymous):
PLEASE HELP
OpenStudy (dan815):
um
OpenStudy (dan815):
2x+y=4x+2y+6
OpenStudy (dan815):
?
OpenStudy (anonymous):
Haaha i really don't even know but thank yo, can you help me out with another one
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OpenStudy (dan815):
wait
OpenStudy (dan815):
ill help u -.-
OpenStudy (dan815):
u know equation of lines
OpenStudy (dan815):
y=2x
y=2x+1
lets say these 2 equations of lines
OpenStudy (anonymous):
okay
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OpenStudy (dan815):
can u see the slopes of those 2 liens are the same
OpenStudy (anonymous):
yea ?
OpenStudy (dan815):
okay these 2 lines have same slope but different y intercept so they will not intersect, which means no solution
OpenStudy (dan815):
you can form an equation with these 2 equations put together
OpenStudy (anonymous):
ohhhhhhhh thats makes sense now
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OpenStudy (anonymous):
so how can i find an equation that has two variable but only one answer >
OpenStudy (dan815):
y=2x
y=2x+1
---------
y-2x=0
y-2x+1=0 ----> multiply this by 2 just for kicks
y-2x=0
2y-4x+2 =0
now equation the 2 zero expressions and we get
y-2x=2y-4x+2
here have have an equation which we know cannot be satisfied
OpenStudy (dan815):
okay so similiar to this, now u want to take any 2 lines with different slopes then u know these 2 lines will intersect
OpenStudy (dan815):
y=2x
y=3x
but lets rewrite this so we sustain the 2 variables
Y-2x=0
y-3x=0
now equation the 0 expressions
y-2x=y-3x
OpenStudy (dan815):
equate*
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OpenStudy (anonymous):
i dont get it ?
@dan815
OpenStudy (dan815):
okay u know 2 lines with different slopes always meet
OpenStudy (dan815):
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OpenStudy (anonymous):
yea
OpenStudy (dan815):
so take any 2 line equations with different slope
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OpenStudy (anonymous):
and theyll have the same answer ?
OpenStudy (dan815):
yeah but re arragen it so u still have the 2 variables
OpenStudy (dan815):
i was thinking uhh.. what grade are u in... have u learnt parabolas
OpenStudy (anonymous):
im so confused
OpenStudy (dan815):
because u can do this with parabolas too
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