Please help!
For what values of t is 2x-3y=5 and 8x-12y=t inconsistent?
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OpenStudy (anonymous):
D: i dont remember this section
OpenStudy (imakeitrainmoney):
are u talking about slopes and intercepts?
OpenStudy (anonymous):
No its a system of equations. the goal is to get both equations to NOT equal each other but I'm not sure how to exactly solve it.
OpenStudy (imakeitrainmoney):
idk i forget sorry :(
OpenStudy (anonymous):
that's okay, do you know anyone that could help me?
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OpenStudy (imakeitrainmoney):
@Mehek14
OpenStudy (imakeitrainmoney):
give @Ilovepurple42043 the link
OpenStudy (welshfella):
they are inconsistent if they have no solution
Hint:- Multiply each term in the first equation by 4
What do you get?
OpenStudy (anonymous):
8x-12y=5
OpenStudy (welshfella):
no
its not 5
its 5*4
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OpenStudy (anonymous):
Oh, I forgot that part, so it'd be 8x-12y=20
OpenStudy (welshfella):
OK
these 2 equations will give the same line if plotted
Now for any other value of the last number - ie not 20 , The graphs of the lines would be parallel and be inconsistent