MatematikC.OpgaverTilToLigningerMedToUbekendte History

Hide minor edits - Show changes to output - Cancel

September 02, 2010, at 07:40 PM by 87.58.31.236 -
Changed line 1 from:
(:nogroupheader:)
to:
(:noleft:) (:noheader:) (:notitle:)(:nogroupheader:)
August 29, 2010, at 02:21 PM by 87.58.31.236 -
Changed lines 57-58 from:
->3) {$\{ (x,y) \vert \; y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)
to:
->3) {$\{ (x,y) \vert \; y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)
August 29, 2010, at 02:20 PM by 87.58.31.236 -
Changed line 59 from:
->4) {$\displaystyle x=\frac{229}{59} \quad \text{ og } \quad y=\frac{-91}{59}$}
to:
->4) L=Ø (ingen løsninger)
August 29, 2010, at 02:18 PM by 87.58.31.236 -
Changed lines 57-58 from:
->3) {$\{ (x,y) \vert y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)
to:
->3) {$\{ (x,y) \vert \; y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)
August 29, 2010, at 02:17 PM by 87.58.31.236 -
Changed lines 57-58 from:
->3) {$\{ (x,y) \| y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)
to:
->3) {$\{ (x,y) \vert y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)
August 29, 2010, at 02:16 PM by 87.58.31.236 -
Changed lines 33-34 from:
to:
\\
Changed lines 45-60 from:
->4) {$x+2y-2=0 \quad \text{ og } \quad 3x+6y+4=0$}
to:
->4) {$x+2y-2=0 \quad \text{ og } \quad 3x+6y+4=0$}


(:toggle div=opgave2 init=hide lshow="Vis facitter" lhide="Skjul facitter":)

>>id=opgave2 indent border-left="2px solid #d5a958" padding="1px 0 3px 10px" <<
'''Facitter'''

->1) {$\displaystyle x=\frac{16}{3} \quad \text{ og } \quad y=\frac{53}{3}$}

->2) {$x=3 \quad \text{ og } \quad y=7$}

->3) {$\{ (x,y) \| y=2x+5 \}$} (alle talpar (x,y), som opfylder ligningen y=2x+5)

->4) {$\displaystyle x=\frac{229}{59} \quad \text{ og } \quad y=\frac{-91}{59}$}
>><<
August 29, 2010, at 02:02 PM by 87.58.31.236 -
Added line 33:
August 29, 2010, at 02:02 PM by 87.58.31.236 -
Changed lines 18-19 from:
\\
to:

(:toggle div=opgave1 init=hide lshow="Vis facitter" lhide="Skjul facitter":)

>>id=opgave1 indent border-left="2px solid #d5a958" padding="1px 0 3px 10px" <<
'''Facitter'''

->1) {$x=12 \quad \text{ og } \quad y=32$}

->2) {$\displaystyle x=\frac{17}{9} \quad \text{ og } \quad y=\frac{20}{9}$}

->3) {$\displaystyle x=\frac{41}{15} \quad \text{ og } \quad y=\frac{61}{30}$}

->4) {$\displaystyle x=\frac{229}{59} \quad \text{ og } \quad y=\frac{-91}{59}$}
>><<
August 26, 2010, at 02:48 AM by 87.58.31.236 -
Added lines 17-30:

\\

'''Opgave 2'''

Løs ligningssystemerne

->1) {$y=5x-9 \quad \text{ og } \quad y=2x+7$}

->2) {$x+y-10=0 \quad \text{ og } \quad 2x-y+1=0$}

->3) {$2x-y+5=0 \quad \text{ og } \quad 4x-2y+10=0$}

->4) {$x+2y-2=0 \quad \text{ og } \quad 3x+6y+4=0$}
August 26, 2010, at 02:43 AM by 87.58.31.236 -
Changed lines 10-16 from:
1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}

2) {$y=7x-11 \quad \text{ og } \quad y=-2x+6$}

3) {$4x+2y=15 \quad \text{ og } \quad 3x-6y+4=0$}

4) {$6x-5y=31 \quad \text{ og } \quad 7x+4y=21$}
to:
->1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}

->2) {$y=7x-11 \quad \text{ og } \quad y=-2x+6$}

->3) {$4x+2y=15 \quad \text{ og } \quad 3x-6y+4=0$}

->4) {$6x-5y=31 \quad \text{ og } \quad 7x+4y=21$}
August 26, 2010, at 02:43 AM by 87.58.31.236 -
Changed lines 10-16 from:
1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}
to:
1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}

2) {$y=7x-11 \quad \text{ og } \quad y=-2x+6$}

3) {$4x+2y=15 \quad \text{ og } \quad 3x-6y+4=0$}

4) {$6x-5y=31 \quad \text{ og } \quad 7x+4y=21$}
August 26, 2010, at 02:40 AM by 87.58.31.236 -
Changed line 10 from:
1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}
to:
1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}
August 26, 2010, at 02:40 AM by 87.58.31.236 -
Changed line 10 from:
1) {$y=2x+8 \text{ og } y=3x-4$}
to:
1) {$y=2x+8 \quad \text{ og } \quad y=3x-4$}
August 26, 2010, at 02:39 AM by 87.58.31.236 -
Changed line 10 from:
1) {$$y=2x+8 \text{ og } y=3x-4$$}
to:
1) {$y=2x+8 \text{ og } y=3x-4$}
August 26, 2010, at 02:39 AM by 87.58.31.236 -
Changed line 10 from:
{$$y=2x+8 \text{ og } y=3x-4$$}
to:
1) {$$y=2x+8 \text{ og } y=3x-4$$}
August 26, 2010, at 02:38 AM by 87.58.31.236 -
Changed lines 4-5 from:
\\
to:
\\\\
August 26, 2010, at 02:38 AM by 87.58.31.236 -
Changed lines 2-5 from:
Opgaver til to ligninger med to ubekendte

\\\\
to:
!Opgaver til to ligninger med to ubekendte

\\
August 26, 2010, at 02:38 AM by 87.58.31.236 -
Added lines 1-10:
(:nogroupheader:)
Opgaver til to ligninger med to ubekendte

\\\\

'''Opgave 1'''

Løs ligningssystemerne

{$$y=2x+8 \text{ og } y=3x-4$$}