Question 461793



solve this using elimatiob by addition

{{{-5m+6n=-8}}}..........1

{{{-m+3n=-7}}}}..........2.....both sides multiply by {{{-2}}}
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{{{-5m+6n=-8}}}..........1

{{{-m(-2)+3n(-2)=-7(-2)}}}}..........2
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{{{-5m+6n=-8}}}..........1

{{{2m-6n=14}}}}..........2..........add 1 and 2
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{{{-5m+2m+6n-6n=-8+14}}}

{{{-3m+cross(6n)-cross(6n)=6}}}

{{{-3m=6}}}

{{{m=6/-3}}}

{{{m=-2}}}..........now find {{{n}}}


{{{-5m+6n=-8}}}..........1...plug in {{{m=-2}}}

{{{-5(-2)+6n=-8}}}..........1


{{{10+6n=-8}}}

{{{6n=-8-10}}}

{{{6n=-18}}}

{{{n=-18/6}}}

{{{n=-3}}}


check:

{{{-5m+6n=-8}}}..........1...plug in {{{m=-2}}} and {{{n=-3}}}

{{{-5(-2)+6(-3)=-8}}}

{{{10-18=-8}}}

{{{-8=-8}}}