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Arbejdsark: Ligningssystemer

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Ligningssystemer
Niveau 1 · Substitutionsmetoden
Løs ligningssystemerne.
1.
{y=2xx+y=6\begin{cases} y = 2x \\ x + y = 6 \end{cases}
x=x =y=y =
2.
{y=5xx+y=12\begin{cases} y = 5x \\ x + y = 12 \end{cases}
x=x =y=y =
3.
{y=2xx+y=24\begin{cases} y = 2x \\ x + y = 24 \end{cases}
x=x =y=y =
4.
{y=3xx+y=28\begin{cases} y = 3x \\ x + y = 28 \end{cases}
x=x =y=y =
5.
{y=x+65x+y=24\begin{cases} y = x + 6 \\ 5x + y = 24 \end{cases}
x=x =y=y =
6.
{y=x+54x+y=10\begin{cases} y = x + 5 \\ 4x + y = 10 \end{cases}
x=x =y=y =
7.
{y=x+15x+y=25\begin{cases} y = x + 1 \\ 5x + y = 25 \end{cases}
x=x =y=y =
8.
{x=y+2x+y=16\begin{cases} x = y + 2 \\ x + y = 16 \end{cases}
x=x =y=y =
9.
{x=y+1x+y=15\begin{cases} x = y + 1 \\ x + y = 15 \end{cases}
x=x =y=y =
10.
{x=y+8x+y=16\begin{cases} x = y + 8 \\ x + y = 16 \end{cases}
x=x =y=y =
Facitliste
Ligningssystemer · Niveau 1 · Substitutionsmetoden
1.x=2,;y=4x = 2,; y = 4
2.x=2,;y=10x = 2,; y = 10
3.x=8,;y=16x = 8,; y = 16
4.x=7,;y=21x = 7,; y = 21
5.x=3,;y=9x = 3,; y = 9
6.x=1,;y=6x = 1,; y = 6
7.x=4,;y=5x = 4,; y = 5
8.x=9,;y=7x = 9,; y = 7
9.x=8,;y=7x = 8,; y = 7
10.x=12,;y=4x = 12,; y = 4