Question 301746
easy setup for elimination method
{{{6x+y=44}}} multiply this one by a -1
{{{6x+7y=28}}}
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Substitution
{{{y=44-6x}}}
{{{6x+7(44-6x)=28
{{{6x-42x+308=28}}}
{{{-36x=280}}}
{{{x=-70/9}}}
{{{6x+7y=28}}}
{{{6(-70/9)+7y=28}}}
{{{(-420/9)+7y=252/9}}}
{{{7y=672/9}}}
{{{7y=224/3}}}
{{{y=224/21}}}
{{{y=32/3}}}


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Elimination
{{{-6x-y=-44}}}
{{{6x+7y=28}}}add these equations together
{{{6y=-16}}}
{{{y=-16/6}}}
{{{y=-8/3}}}
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{{{6x+y=44}}}
{{{6x+(-8/3)=44}}}
{{{6x=44+(8/3)}}}
{{{6x=132/3+(8/3)}}}
{{{6x=140/3}}} multiply by 1/6
{{{x=140/18}}}
{{{x=70/9}}}
__________________
CHECKING
{{{6x+y=44}}} 
{{{6(-8/3)+(70/9)=44}}}
{{{2(-8)+(70/9)=44}}}
{{{(-16)+(70/9)=44}}}
{{{(-144/9)+(70/9)=44}}}
comes out wrong with either method so either the problem is written incorrectly or the answer is no solutions.


lol looks like im the only tutor who actually checks my answers. 1 guy below checked once but still didnt find that there is no solution to this set of equations.