Answer:
k=3; l= -1.
Explanation:
1) if if m=2i-j and n= 4i+3j, then km+ln=2i-6j can be written k(2i-j)+l(4i+3j)=2i-6j;
2) after evoluation of the last expression:
i(2k+4l)+j(-k+3l)=2i-6j - it is possible to make up the system of equations:
[tex]\left \{ {{2k+4l=2} \atop {-k+3l=-6}} \right. \ = > \ \left \{ {{k=3} \atop {l=-1}} \right.[/tex]