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Conditions for equations O_O (1 Viewer)

Inexorably Me

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{mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} </style> <![endif]-->[FONT=&quot]Sorry, need help with this also >_<
Q: Find the condition for the equations px + qy = 1 and rx + sy = 1 to be: a)independent b) dependent or c) inconsistent.
I never knew equations even had conditions (until now), & how do i find them? :S
Please and thank you!
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scardizzle

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I' ve never seen this terminology before... maybe independant means that they dont intersect and dependant means they do?

in that case the only lines that never intersect are parallel lines and therefore -p/q = -r/s for the lines not to intersect part i)
 
Last edited:
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khorne

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Independent means that, if you have a group of simultaneous equations, you can't derive a value for x,y...So I would imagine it's asking for all values which would make it insolvable... Consistent meants they have at least one solution...so inconsisten = no solutions?
 

Inexorably Me

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Wow, you guys are awesome and awesomely smart too.. :love: Thanks guys for all the help! Very helpful indeed (Y)
 

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