Solver System of Equations
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Source code of 'System of Equations'
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==section input *[input a=3]x+*[input b=5]y=*[input s1=3] *[input c=4]x+*[input d=6]y=*[input s2=1] ==section solution We have the system of equations {{{system($a x+$b y=$s1,$c x+$d y=$s2)}}}. Solving the 2 equations for y gets you *[assign z1=$s1/$b] *[assign z2=$a/$b] *[assign z3=$s2/$d] *[assign z4=$c/$d] y= -($z2) x+($z1) y=-($z4) x+($z3) So -($z2) x+($z1)=-($z4) x+($z3). *[assign A1=$z4-$z2] $A1 x+ $z1=$z3 *[assign A2=$z3-$z1] $A1 x=$A2 *[assign A3=$A2/$A1] {{{highlight(x=$A3)}}} Plug this value into either equation to find that *[assign A4=($s1-($a*$A3))/$b] {{{highlight(y=$A4)}}}. ==section output z1,z2,z3,z4,A1,A2,A3,A4 ==section check
