bewerking=nivo/bewerking8.proc
PLAATJE=0
!set n=$teller

!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 $letters
!else
    X$n=x
    Y$n=y
    Z$n=u
!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 +,-
nivo_title=!record 65 of lang/remarks.$taal
somtekst$n=!record 66 of lang/remarks.$taal
#nivo_title=Schrijf het volgende stelsel van twee vergelijking op als &eacute;&eacute;n vergelijking <br>Schrijf <em>$(Y$n)</em> als functie van  <em>$(X$n)</em> .
#somtekst$n=Schrijf de twee vergelijkingen als &eacute;&eacute;n formule <br><em>Dus schrijf <tt>$(Y$n)</tt> als functie van <tt>$(X$n)</tt>.</em>
!if $R=1
    # x=z pm b => z=(x - (pm b))
    # y=z mp  c
    # goed$n= y=(x - (pm b)) pm c
    g=!exec pari A=($(X$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} $(X$n) = $(Z$n) $pm $b  \\ \\ $(Y$n) = $(Z$n) $mp $c \end{array}\right.
    extra$n=$empty
 !exit
!endif
	
!if $R=2
    # x=az => z=x/a
    # y=dz mp  c
    # goed$n= y=dx/a mp c 
    g=!exec pari A=$d*$(X$n)/$a $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} $(X$n) = $a \cdot $(Z$n) \\ \\ $(Y$n) = $d \cdot $(Z$n) $mp $c \end{array}\right.
    extra$n=$empty
 !exit
!endif
	
!if $R=3
    # x=az pm b => z= (x - (pm b))/a
    # y=dz mp  c
    # goed$n= y=d((x - (pm b))/a ) mp c 
    g=!exec pari A=$d*(($(X$n)- ($pm $b) )/$a ) $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} $(X$n) = $a \cdot $(Z$n) $pm $b \\ \\ $(Y$n) = $d \cdot $(Z$n) $mp $c \end{array}\right.
    extra$n=$empty
  !exit
!endif
!if $R>3
    wims_texsize=+2
    keuze=!randitem 1,2
    !if $keuze=1	
	# x=z/a pm b => z/a = x-(pm b) => z=a*(x-(pm b))
	# y=dz mp  c
        # goed$n= y=d*(a*(x-(pm b))) mp c
        g=!exec pari A=$d*($a*($(X$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} $(Z$n) = \frac{1}{$a} \cdot $(X$n) $pm $b \\ \\ $(Y$n) = $d \cdot $(Z$n) $mp $c \end{array}\right.
        extra$n=$empty
     !exit
    !else
	e=!randitem 2,3,4,5,6,7,8
	a=$[$a+$e]
	# x=e*z/a pm b => ex/a=x- (pm b) => ex=a(x- (pm b)) => x=a(x- (pm b))/e
	# y=dz mp  c
	# goed$n= y=d*(a(x- (pm b))/e ) mp c 
	g=!exec pari A=$d*($a*($(X$n)-($pm $b))/$e ) $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} $(Z$n) = \frac{$e}{$a} \cdot $(X$n) $pm $b \\ \\ $(Y$n) = $d \cdot $(Z$n) $mp $c \end{array}\right.
	extra$n=$empty
     !exit
    !endif	
!endif