Maths question that is messing with my head :( :( :(

Chance Me / Match Me!
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<p>Sorry for posting in the wrong forum but this is the most frequented forum on this site and I need help.</p>

<p>a)-4x+y+6z=11
b)5x+y–3z=-7
c)x+2y+3z=4</p>

<p>Anyone able to solve these?? What is the equations of the line that all the points lie on, or is there a single point of intersection ?</p>

<p>It is impossible to solve with Matrices because the determinant is equal to 0. And I hit a dead end with row operations </p>

<p>Anyone able to help....</p>

<p>I got
z=0
x=-2
y=3</p>

<p>BUT, when I graphed them, the 3 planes intersected at a line not a single bloody point. What the hell have I done wrong !!!</p>

<p>Is anyone able to provide me with a solution in parametric form, its between y=3-2z and
y=-2x-1 for me both seem to work and there is only one parametric solution. If anyone is able to clear this up for me i'd be grateful thanks.</p>

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<p>Also what it the significance of these solutions ??</p>

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<p>bump…</p>

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<p>give me a sec, i ll try to solve it…meanwhile … <a href=“http://talk.collegeconfidential.com/what-my-chances/1208634-chance-me-vassar-ed.html[/url]”>http://talk.collegeconfidential.com/what-my-chances/1208634-chance-me-vassar-ed.html&lt;/a&gt;&lt;/p&gt;

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<p>sorry, can’t help you, its taking me too long</p>

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<p>y= -2x-1
z= x+2</p>

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<p>Haha I know it’s a pain in the ass and no it isn’t that Dantari but thanks :D. I found the answer off an online blog ^^ it is quite an annoying set of equations. I’ll post the parameters if you guys want to know ^^.</p>