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Arbetsblad: Ekvationssystem

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Ekvationssystem
Nivå 2 · Additionsmetoden
Lös ekvationssystemen.
1.
{5x+y=353x+y=21\begin{cases} 5x + y = 35 \\ 3x + y = 21 \end{cases}
x=x =y=y =
2.
{−2x+4y=−14−3x+4y=−13\begin{cases} -2x + 4y = -14 \\ -3x + 4y = -13 \end{cases}
x=x =y=y =
3.
{4x−3y=24−4x−5y=−24\begin{cases} 4x - 3y = 24 \\ -4x - 5y = -24 \end{cases}
x=x =y=y =
4.
{−x+y=6x+y=4\begin{cases} -x + y = 6 \\ x + y = 4 \end{cases}
x=x =y=y =
5.
{4x+4y=−8−4x+4y=−16\begin{cases} 4x + 4y = -8 \\ -4x + 4y = -16 \end{cases}
x=x =y=y =
6.
{x−2y=9−3x+2y=−27\begin{cases} x - 2y = 9 \\ -3x + 2y = -27 \end{cases}
x=x =y=y =
7.
{−4x+2y=−183x−2y=14\begin{cases} -4x + 2y = -18 \\ 3x - 2y = 14 \end{cases}
x=x =y=y =
8.
{−4x+y=−204x+5y=68\begin{cases} -4x + y = -20 \\ 4x + 5y = 68 \end{cases}
x=x =y=y =
9.
{5x+5y=152x−5y=−8\begin{cases} 5x + 5y = 15 \\ 2x - 5y = -8 \end{cases}
x=x =y=y =
10.
{x−2y=−21−4x+2y=36\begin{cases} x - 2y = -21 \\ -4x + 2y = 36 \end{cases}
x=x =y=y =
Facit
Ekvationssystem · Nivå 2 · Additionsmetoden
1.x=7,;y=0x = 7,; y = 0
2.x=−1,;y=−4x = -1,; y = -4
3.x=6,;y=0x = 6,; y = 0
4.x=−1,;y=5x = -1,; y = 5
5.x=1,;y=−3x = 1,; y = -3
6.x=9,;y=0x = 9,; y = 0
7.x=4,;y=−1x = 4,; y = -1
8.x=7,;y=8x = 7,; y = 8
9.x=1,;y=2x = 1,; y = 2
10.x=−5,;y=8x = -5,; y = 8