!set n=$counter
math=0
checkfile=exos/checkfile2.proc

question$n=!record 32 of lang/remarks.$taal
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=:$var3=:and
a=!randitem 2,3,4,5,6,7,8
b=!randitem 2,3,4,5,6,7,8
!if $breuken=0
    G=!randitem 1,2,4,6,8,10,11,13
    GG=!randitem 3,5,7,9,12,14
    answer$n=$G,$GG
    # X => G 
    # Y => GG
    !if $R=1
        # x=by => b=x/y => G/GG
        # x-y=d => d=G-GG
	bb=!exec pari printtex($G/$GG)\
	printtex($G-$GG)
        b=!line 1 of $bb
        d=!line 2 of $bb	
	formula$n=\left\{ \begin{array}{c}$var1 = $b \cdot $var2 \\ \\ $var1 - $var2 = $d \end{array}\right. 	   
	extra$n=\left\{ \begin{array}{c} $var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=2 
	# X => G 
	# Y => GG
        # bx=y => b=y/x => GG/G
        # x-y=d => d=G-GG
        bb=!exec pari printtex($GG/$G)\
	printtex($G-$GG)
        b=!line 1 of $bb
        d=!line 2 of $bb
        formula$n=\left\{ \begin{array}{c}$b \cdot $var1 = $var2 \\ \\  $var1 - $var2 = $d \end{array}\right.
        extra$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=3 
	# X => G 
	# Y => GG
        # x=by => b=x/y => b=G/GG
        # ax-y=d 
        bb=!exec pari printtex($G/$GG)\
	printtex($a*$G-$GG)
        b=!line 1 of $bb
        d=!line 2 of $bb
        formula$n=\left\{ \begin{array}{c}$var1 = $b\cdot $var2 \\ \\ $a\cdot $var1 - $var2 = $d \end{array}\right.
        extra$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 
	!if $a=$b
	    a=$[$a+1]
	!endif    
        c=$[$a*$G + $b*$GG]
        d=$[$G + $GG]
        formula$n=\left\{ \begin{array}{c} $a\cdot $var1 + $b\cdot $var2 = $c \\ \\ $var1 + $var2 = $d \end{array}\right. 	
        extra$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif

!else
    breuk=!shuffle 1/2,1/4,1/5,2/5,3/2,5/2,1/3,2/3,4/3,3/4,5/4,5/8,3/8,1/8,7/8
    G=!item 1 of $breuk
    GG=!item 2 of $breuk
    answer$n=$G,$GG
    # X => G 
    # Y => GG
    !if $R=1
        # x = by => b=x/y => G/GG
        # x-y=d => d=G-GG
	bb=!exec pari printtex(($G)/($GG))\
	printtex(($G)-($GG))
        b=!line 1 of $bb
	d=!line 2 of $bb
	formula$n=\left\{ \begin{array}{c}$var1 = $b \cdot $var2  \\ \\ $var1 - $var2 = $d \end{array}\right. 	   
	extra$n=\left\{ \begin{array}{c} $var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=2 
	# X => G 
        # Y => GG
        # bx=y => b=y/x => b= GG/G
        # x-y=d => d= G-GG
        bb=!exec pari printtex(($GG)/($G))\
	printtex($G-$GG)
        b=!line 1 of $bb
        d=!line 2 of $bb
        formula$n=\left\{ \begin{array}{c}$b \cdot $var1 = $var2 \\ \\  $var1 - $var2 = $d \end{array}\right.
        extra$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif
	
    !if $R=3 
        # X => G 
        # Y => GG
        # x=by => b=x/y => b= G/GG 
        # ax-y=d => d=a*G - GG
        bb=!exec pari printtex(($G)/($GG))\
	printtex($a*$G-$GG)
	b=!line 1 of $bb
        d=!line 2 of $bb
        formula$n=\left\{ \begin{array}{c}$var1 = $b\cdot $var2 \\ \\ $a\cdot $var1 - $var2 = $d \end{array}\right.
        extra$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
	!if $a=$b
	    a=$[$a+1]
	!endif    
	bb=!exec pari printtex($a*($G) + $b*($GG))\
	printtex($G + $GG)
        c=!line 1 of $bb
        d=!line 2 of $bb
        formula$n=\left\{ \begin{array}{c} $a\cdot $var1 + $b\cdot $var2 = $c \\ \\ $var1 + $var2 = $d \end{array}\right. 	
        extra$n=\left\{ \begin{array}{c}$var1= $G \\ \\ $var2 = $GG \end{array}\right.
     !exit
    !endif

!endif
