checkfile=exos/checkfile8.proc
image=0
math=0
questiontype=0
!set n=$counter

!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
    var3=!item 3 of $letters
!else
    var1=x
    var2=y
    var3=u
!endif
var4=# 
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 +,-

exotitle=!record 65 of lang/remarks.$taal
#@ Schrijf het volgende stelsel van twee vergelijking op als &eacute;&eacute;n vergelijking <br>Schrijf <em>$var2</em> als functie van  <em>$var1</em> .
question$n=!record 66 of lang/remarks.$taal
#@ Schrijf de twee vergelijkingen als &eacute;&eacute;n formule <br><em>Dus schrijf <tt>$var2</tt> als functie van <tt>$var1</tt></em>.

!if $R=1
    # x=z pm b => z=(x - (pm b))
    # y=(z mp c)^2
    # texanswer$n= y=((x - (pm b)) mp c)^2
    g=!exec pari A=(($var1 - ($pm $b)) $mp $c)^2\
    printtex(A)
    g1=!line 1 of $g
    g2=!line 2 of $g
    texanswer$n=$var2 \,=\, $g2
    answer$n=$g1
    formula$n=\left\{ \begin{array}{l} $var1 = $var3 $pm $b  \\ \\ $var2 = \left($var3 $mp $c\right)^{2} \end{array}\right.
 !exit
!endif
!if $R=2
    !set mytexsize=+2
    # x=z/a=> z= xa
    # y=dz^2 mp  c
    # texanswer$n= y=d*(xa)^2 pm c
    g=!exec pari A=$d*($var1*$a)^2 $pm $c\
    printtex(A)
    g1=!line 1 of $g
    g2=!line 2 of $g
    texanswer$n=$var2 \,=\, $g2
    answer$n=$g1
    formula$n=\left\{ \begin{array}{l} $var1 =\frac{1}{$a} \cdot $var3 \\ \\ $var2 = $d \cdot $var3^{2} $mp $c \end{array}\right.
  !exit
!endif
	
!if $R>2
    #  x=z pm b => z=(x - (pm b))
    # y=cz^2 pm dz mp e
    # texanswer$n= y=c*(x - (pm b))*(x - (pm b)) pm d*(x - (pm b)) mp e
    g=!exec pari A=$c*($var1 - ($pm $b))*($var1 - ($pm $b)) $pm $d*($var1 - ($pm $b)) $mp $e\
    printtex(A)
    g1=!line 1 of $g
    g2=!line 2 of $g    
    texanswer$n=$var2 \,=\, $g2
    answer$n=$g1
    formula$n=\left\{ \begin{array}{l} $var1 = $var3 $pm $b\\ \\ $var2 = $c \cdot $var3^{2} $mp $d\cdot $var3 $mp $e \end{array}\right.
 !exit
!endif
	
