bewerking=nivo/bewerking9.proc
!set n=$teller
PLAATJE=0
!if $graad =0
    R=$teller
!else
    R=$graad
!endif        

!if $variabelen=1
    letters=a,b,c,d,f,x,y,z,p,g,k,t,r,n,m
    letters=!shuffle $letters 
    X$n=!item 1 of $letters
    Y$n=!item 2 of $letters
    Z$n=!item 3 of $letters
    K$n=!item 4 of $letters
!else
    X$n=x
    Y$n=y
    Z$n=u
    K$n=v
!endif   
getallen=!shuffle 2,3,4,5,6,7,8,9,10
a=!item 1 of $getallen
b=!item 2 of $getallen
c=!item 3 of $getallen
d=!item 4 of $getallen
e=!item 5 of $getallen
f=!item 6 of $getallen
g=!item 7 of $getallen
h=!item 8 of $getallen     	
pm=!randitem +,-
mp=!randitem +,-
mm=!randitem +,-
    
#nivo_title=Schrijf het volgende stelsel van drie vergelijking op als &eacute;&eacute;n vergelijking 
#somtekst$n=Schrijf de drie vergelijkingen als &eacute;&eacute;n formule <br><em>Geef <tt>$(Y$n)</tt> als functie van <tt>$(X$n)</tt></em>.
nivo_title=!record 65 of lang/remarks.$taal
somtekst$n=!record 66 of lang/remarks.$taal

!if $R=1
    # k=x mm d
    # z=k*x pm b => z=(x mm d)*x pm b
    # y=z mp  c
    # goed$n= y=(x mm d)*x pm b mp c 
    g=!exec pari A=($(X$n) $mm $d)*$(X$n) $pm $b $mp $c \
    printtex(A)
    g1=!line 1 of $g
    g2=!line 2 of $g
    goed$n=$(Y$n) \,=\, $g2
    GOED$n=$g1
    som$n=\left\{ \begin{array}{l}$(K$n)=$(X$n) $mm $d \\ $(Z$n) = $(K$n) \cdot $(X$n) $pm $b \\ $(Y$n) = $(Z$n) $mp $c \end{array}\right.
    extra$n=$empty
 !exit
!endif
	
!if $R=2
    # k=e*x mm d
    # z=kx pm b => z=x*(e*x mm d) pm d
    # y=dz mp  c
    # goed$n= y = d*(x*(e*x mm d) pm d) pm c
    g=!exec pari A=$d*($(X$n)*($e*$(X$n) $mm $d) $pm $d) $pm $c\
    printtex(A)
    g1=!line 1 of $g
    g2=!line 2 of $g    
    goed$n=$(Y$n) \,=\, $g2
    GOED$n=$g1
    som$n=\left\{ \begin{array}{l}$(K$n)=$e \cdot $(X$n) $mm $d \\  $(Z$n) = $(K$n) \cdot $(X$n) $pm $b \\ $(Y$n) = $d \cdot $(Z$n) $mp $c \end{array}\right.
    extra$n=$empty
 !exit
!endif
	
!if $R>2
    # k=x/e mm d
    # z=kx pm b => z=x*(x/e mm d) pm d
    # y=dz mp  c
    # goed$n= y = d*(x*(x/e mm d) pm d) pm c
    g=!exec pari A=$d*($(X$n)*($(X$n)/$e $mm $d) $pm $d) $pm $c\
    printtex(A)
    g1=!line 1 of $g
    g2=!line 2 of $g    
    goed$n=$(Y$n) \,=\, $g2
    GOED$n=$g1
    som$n=\left\{ \begin{array}{l}$(K$n)=\frac{1}{$e} \cdot $(X$n) $mm $d \\  $(Z$n) = $(K$n) \cdot $(X$n) $pm $b \\ $(Y$n) = $d \cdot $(Z$n) $mp $c \end{array}\right.
    extra$n=$empty
 !exit
!endif
	
