Question 450102
{{{n=8k-15m/3}}}........if you have this, than both sides multiply by {{{3}}}


{{{3n=3*8k-3*15m/3}}}


{{{3n=24k-cross(3)*15m/cross(3)}}}

{{{3n=24k-15m}}}..add {{{15m}}} to both sides

{{{3n+15m=24k-15m+15m}}}

{{{3n+15m=24k-cross(15m)+cross(15m)}}}

{{{3n+15m=24k}}}

{{{(3n+15m)/24=k}}}

{{{k=3n/24+15m/24}}}

{{{k=(1/8)n+(5/8)m}}}


but, if you have this:{{{n=(8k-15m)/3}}}.......both sides multiply by {{{3}}}


{{{3n=3(8k-15m)/3}}}


{{{3n=cross(3)(8k-15m)/cross(3)}}}


{{{3n=8k-15m}}}......add {{{15m}}} to both sides

{{{3n+15m=8k-15m+15m}}}

{{{3n+15m=8k-cross(15m)+cross(15m)}}}


{{{3n+15m=8k}}}


{{{3n/8+15m/8=k}}}


{{{k=(3/8)n+(15/8)m}}}