Linear Algebra Problem:

[Jordi]

I am very stuck with this problem!
I think I can express X as x = a+b and Y as d-c but I am unsure.
Please can you help me with this! Thanks!

 

[tkhunny]

[math]\vec{x}\;is\;not\;\vec{a}+\vec{b}[/math]. Reconsider the direction arrows.

 

[tkhunny]

[math]\vec{y}\;is\;not\;\vec{d}-\vec{c}[/math]. Take a broader view. [math]\vec{x}+\vec{c} = \vec{d}-\vec{y}[/math], maybe?

Don't guess.

 

[pka]

I am very stuck with this problem!
I think I can express X as x = a+b and Y as d-c but I am unsure.

\(\displaystyle \bf{x=a-b}\) then \(\displaystyle \bf{y=d+~\large ?-c}\)

 

[Jordi]

would it then be x= a-b and then y= -c+b - a+d ?

 

[tkhunny]

would it then be x= a-b and then y= -c+b - a+d ?

Are you guessing or did you reason it out and prove it? How did you come up with that? Did you follow a trail entirely lacking sensibility? Did you deliberately make errors? You tell us if that's the correct answer.