Question 289137
{{{2m+n=16}}} Start with the first equation.



{{{n=-2m+16}}} Subtract 2m from both sides.



{{{m-3n=15}}} Move on to the second equation.



{{{m-3(-2m+16)=15}}} Plug in {{{n=-2m+16}}}



{{{m+6m-48=15}}} Distribute.



{{{7m-48=15}}} Combine like terms on the left side.



{{{7m=15+48}}} Add 48 to both sides.



{{{7m=63}}} Combine like terms on the right side.



{{{m=63/7}}} Divide both sides by 7 to isolate m.



{{{m=9}}} Reduce.



{{{n=-2m+16}}} Go back to the previously isolated equation.



{{{n=-2(9)+16}}} Plug in {{{m=9}}}



{{{n=-18+16}}} Multiply -2 and 9 to get -18



{{{n=-2}}} Add -18 to 16 to get -2



So the solutions are {{{m=9}}} and {{{n=-2}}}