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Arbetsblad: Ekvationssystem

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Ekvationssystem
Nivå 1 · Substitutionsmetoden
Lös ekvationssystemen.
1.
{y=4xx+y=5\begin{cases} y = 4x \\ x + y = 5 \end{cases}
x=x =y=y =
2.
{y=2xx+y=12\begin{cases} y = 2x \\ x + y = 12 \end{cases}
x=x =y=y =
3.
{y=3xx+y=20\begin{cases} y = 3x \\ x + y = 20 \end{cases}
x=x =y=y =
4.
{y=2xx+y=27\begin{cases} y = 2x \\ x + y = 27 \end{cases}
x=x =y=y =
5.
{y=x+72x+y=22\begin{cases} y = x + 7 \\ 2x + y = 22 \end{cases}
x=x =y=y =
6.
{y=x+85x+y=26\begin{cases} y = x + 8 \\ 5x + y = 26 \end{cases}
x=x =y=y =
7.
{y=x+95x+y=57\begin{cases} y = x + 9 \\ 5x + y = 57 \end{cases}
x=x =y=y =
8.
{x=y+6x+y=16\begin{cases} x = y + 6 \\ x + y = 16 \end{cases}
x=x =y=y =
9.
{x=y+9x+y=27\begin{cases} x = y + 9 \\ x + y = 27 \end{cases}
x=x =y=y =
10.
{x=y+4x+y=10\begin{cases} x = y + 4 \\ x + y = 10 \end{cases}
x=x =y=y =
Facit
Ekvationssystem · Nivå 1 · Substitutionsmetoden
1.x=1,;y=4x = 1,; y = 4
2.x=4,;y=8x = 4,; y = 8
3.x=5,;y=15x = 5,; y = 15
4.x=9,;y=18x = 9,; y = 18
5.x=5,;y=12x = 5,; y = 12
6.x=3,;y=11x = 3,; y = 11
7.x=8,;y=17x = 8,; y = 17
8.x=11,;y=5x = 11,; y = 5
9.x=18,;y=9x = 18,; y = 9
10.x=7,;y=3x = 7,; y = 3