Math question that is messing with my head.

Student Lounge International Students
1

<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>

2

<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>

3

<p>I have an accurate graph for you! :smiley:
Also, please ignore the background noise, Singham was on the TV and I’m not one to saying no to a good movie :stuck_out_tongue:
Hopefully, you can hear me explaining o.O</p>

<p>As you can see… there is no common solution for the intersection of the three planes.</p>

<p>HONESTLY, I don’t know how you got z=0, x=-2 and y=3</p>

<p>Check your PM for a link to the youtube video and my worked solution. I will not post them here. Any sane person wouldn’t, I have my identity to worry about ;)</p>

<p>Anyone else who would also like to see, PM me or leave a reply here :)</p>

4

<p>Thanks :slight_smile: actually z=0, x=-2 and y=3 are just 3 points on the line.</p>

5

<p>Ahh **** sorry actually z=0, x=-2 and y=3 have nothing to do with it thats from another question.</p>