MatematikC.OpgaverTilToLigningerMedToUbekendte History

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September 02, 2010, at 07:40 PM by 87.58.31.236 -
Changed line 1 from:

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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 -
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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":)

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":)

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

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