Question 1127148
{{{system(ax + by = m,cx + dy = n)}}}

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preparing for elimination method, to be able to eliminate y:
{{{system(d(ax+by)=dm,b(cx+dy)=bn)}}}


{{{system(adx+bdy=dm,bcx+bdy=bn)}}}


{{{E1-E2}}}, actually eliminate y and find x:

{{{adx-bcx=dm-bn}}}

{{{(ad-bc)x=dm-bn}}}

{{{highlight(x=(dm-bn)/(ad-bc))}}}


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{{{system(c(ax+by)=cm,a(cx+dy)=an)}}}


{{{acx+bcy=cm,acx+ady=an}}}


{{{E1-E2}}}:

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