checkfile=exos/checkfile2.proc
math=0
!set n=$counter
question$n=!record 32 of lang/remarks.$taal
#@ Los het volgende stelsel vergelijking op <br><font color=$fontcolor3>Twee vergelijkingen met twee onbekenden.</font>
exotext=!record 36 of lang/remarks.$taal
#@ <a onmouseover="this.T_WIDTH=260;this.T_OPACITY=80;this.T_BORDERCOLOR='red';this.T_BORDERWIDTH=1;this.T_BGCOLOR='#e8ffff';return escape('Geef je antwoord in zoals:<br><small><em>x=1/3<br>y=3/7<br>z=14</em></small> ')"><font color=blue size=-1><em>Voer je antwoord "wiskundig" in</em></font></a>
!if $level =0
    R=$counter
!else
    R=$level
!endif        

!if $variabelen=1
    letters=a,b,c,d,f,x,y,z,p,g,k,t,r,n,m
    letters=!shuffle $letters 
    var1=!item 1 of $letters
    var2=!item 2 of $letters
!else
    var1=x
    var2=y
!endif
varlist=$var1,$var2
mathviewpanel=$module_title:$var1=:$var2=:and   	
a=!randitem 2,3,4,5,6,7,8
b=!randitem 2,3,4,5,6,7,8
!if $breuken=0
    G=!randitem 2,3,4,5,6,7,8,9,10,11,12,13,14,15
    GG=!randitem 2,3,4,5,6,7,8,9,10,12,13,14,15
    answer$n=$G,$GG
    !if $R=1
	# X => G
        # Y => GG
	# x+y=c
	# x-y=d
	c=$[$G+$GG]
	d=$[$G-$GG]
	formula$n=\left\{ \begin{array}{c}$var1 + $var2 = $c \\ $var1 - $var2 = $d \end{array}\right.
	texanswer$n=\left\{ \begin{array}{c}$var1 + $GG = $c  \Longrightarrow $var1= $G\\ $var2 = $GG \end{array}\right.
     !exit
    !endif
    !if $R=2 
	# X => G
        # Y => GG
	# bx+y=c
	# ax-y=d
	c=$[$b*$G+$GG]
	d=$[$a*$G-$GG]
	formula$n=\left\{ \begin{array}{c}$b\cdot $var1 + $var2 = $c \\ $a\cdot $var1 - $var2 = $d \end{array}\right.
	texanswer$n=\left\{ \begin{array}{c}$var1= $G\\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=3 
	# X => G
        # Y => GG
	# x+by=c
	# ax-y=d
	c=$[$G+ $b*$GG]
	d=$[$a*$G-$GG]
	formula$n=\left\{ \begin{array}{c}$var1 + $b\cdot $var2 = $c \\ $a\cdot $var1 - $var2 = $d \end{array}\right. 
	texanswer$n=\left\{ \begin{array}{c}$var1= $G\\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R>3 
	# X => G
        # Y => GG
	# ax+by=c 
	# x+y=d 
        c=$[$a*$G + $b*$GG]
        d=$[$G + $GG]
        formula$n=\left\{ \begin{array}{c} $a\cdot $var1 + $b\cdot $var2 = $c \\ $var1 + $var2 = $d \end{array}\right. 	
        texanswer$n=\left\{ \begin{array}{c}$var1= $G\\ $var2 = $GG \end{array}\right.
     !exit
    !endif
!else
    T1=!randitem 2,3,4,5,6,8,9,10,12    
    T2=!randitem 11,12,13,14,15,16,18,20
    NN=!randint 6,20    
    NN=$[2*$NN]
    TOT=!exec pari $T1/$NN \
    $T2/$NN
    
    G=!line 1 of $TOT
    GG=!line 2 of $TOT
    answer$n=$G,$GG
    
    !if $R=1
	# X => G
        # Y => GG
	# x+y=c => c=G+GG
	# x-y=d => d=C-GG
	tot=!exec pari printtex($G+$GG)\
	printtex($G-$GG)	
	c=!line 1 of $tot
	d=!line 2 of $tot
	formula$n=\left\{ \begin{array}{c}$var1 + $var2 = $c \\ \\ $var1 - $var2 = $d \end{array}\right.
	texanswer$n=\left\{ \begin{array}{c}$var1 + $GG = $c  \Longrightarrow $var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=2 
	# X => G
        # Y => GG
	# bx+y=c => c=b*G +GG
	# ax-y=d => d=aG -GG
	tot=!exec pari printtex($b*$G+$GG)\
	printtex($a*$G-$GG)
	c=!line 1 of $tot
	d=!line 2 of $tot
	formula$n=\left\{ \begin{array}{c}$b\cdot $var1 + $var2 = $c \\ \\ $a\cdot $var1 - $var2 = $d \end{array}\right.
	texanswer$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=3 
	# X => G
        # Y => GG
	# x+by=c  => c= G+b*GG
	# ax-y=d => d=a*G - GG
	tot=!exec pari printtex($G+ $b*$GG)\
	printtex($a*$G-$GG)
	c=!line 1 of $tot
	d=!line 2 of $tot
	formula$n=\left\{ \begin{array}{c}$var1 + $b\cdot $var2 = $c \\ \\ $a\cdot $var1 - $var2 = $d \end{array}\right. 
	texanswer$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R>3 
	# X => G
        # Y => GG
	# ax+by=c  => c=a*G +b*GG
	# x+y=d  => d=G+GG
	tot=!exec pari printtex($a*$G + $b*$GG)\
	printtex($G + $GG)
	c=!line 1 of $tot
	d=!line 2 of $tot
        formula$n=\left\{ \begin{array}{c} $a\cdot $var1 + $b\cdot $var2 = $c \\ \\ $var1 + $var2 = $d \end{array}\right. 	
        texanswer$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
!endif
