example of an equation in two variables with 0 solutions.

- anonymous

example of an equation in two variables with 0 solutions.

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- anonymous

PLEASE HELP

- dan815

um

- dan815

2x+y=4x+2y+6

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- dan815

?

- anonymous

Haaha i really don't even know but thank yo, can you help me out with another one

- dan815

wait

- dan815

ill help u -.-

- dan815

u know equation of lines

- dan815

y=2x
y=2x+1
lets say these 2 equations of lines

- anonymous

okay

- dan815

can u see the slopes of those 2 liens are the same

- anonymous

yea ?

- dan815

okay these 2 lines have same slope but different y intercept so they will not intersect, which means no solution

- dan815

you can form an equation with these 2 equations put together

- anonymous

ohhhhhhhh thats makes sense now

- anonymous

so how can i find an equation that has two variable but only one answer >

- 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

- 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

- 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

- dan815

equate*

- anonymous

i dont get it ?
@dan815

- dan815

okay u know 2 lines with different slopes always meet

- dan815

|dw:1444028633608:dw|

- anonymous

yea

- dan815

so take any 2 line equations with different slope

- anonymous

and theyll have the same answer ?

- dan815

yeah but re arragen it so u still have the 2 variables

- dan815

i was thinking uhh.. what grade are u in... have u learnt parabolas

- anonymous

im so confused

- dan815

because u can do this with parabolas too

- dan815

|dw:1444028777898:dw|

- anonymous

i dont rememebr to much about them

- dan815

ok nvm

- anonymous

can you exaplain it to me again cause im really confused

- dan815

ya so take 2 line equations with different slope

- dan815

y=2x
y=3x

- dan815

now you put these together so that u still have 2 variables in your expression

- dan815

y-2x=0
y-3x=0
rewrite both equation like above now equate the 0 s together
0=0
y-2x=y-3x

- dan815

there you have an equation with 2 variables that can only have 1 solution

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