Whakaoti i te {l}{3cx+2y=2y}{2cy+s=7x}

$$\left\{ \begin{array} { l } { 3 c x + 2 y = 2 y } \\ { 2 c y + s = 7 x } \end{array} \right.$$

Whakaoti mō x, y (complex solution)

$$\left\{\begin{matrix}x=0\text{, }y=-\frac{s}{2c}\text{, }&c\neq 0\\x=0\text{, }y\in \mathrm{C}\text{, }&s=0\text{ and }c=0\\x=\frac{s}{7}\text{, }y=0\text{, }&s=0\text{ or }c=0\\x=\frac{s}{7}\text{, }y\in \mathrm{C}\text{, }&c=0\end{matrix}\right.$$

Ngā Upane e Whakamahi ana i te Whakakapinga

Whakaarohia te whārite tuatahi. Tangohia te 2y mai i ngā taha e rua.

$$3cx+2y-2y=0$$

Pahekotia te 2y me -2y, ka 0.

$$3cx=0$$

Whakaarohia te whārite tuarua. Tangohia te 7x mai i ngā taha e rua.

$$2cy+s-7x=0$$

Tangohia te s mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$2cy-7x=-s$$

Hei whakaoti i ētahi whārite takirua mā te whakakapinga, me whakaoti tētahi whārite i te tuatahi mō tētahi o ngā taurangi. Ka whakakapi i te otinga mō taua taurangi ki tērā o ngā whārite.

$$3cx=0,-7x+2cy=-s$$

Tīpakohia tētahi o ngā whārite e rua he māmā ake ki te whakaoti mō te x mā te wehe i te x i te taha mauī o te tohu ōrite.

$$3cx=0$$

Whakawehea ngā taha e rua ki te 3c.

$$x=0$$

Whakakapia te 0 mō te x ki tērā atu whārite, -7x+2cy=-s.

$$2cy=-s$$

Whakawehea ngā taha e rua ki te 2c.

$$y=-\frac{s}{2c}$$

Kua oti te pūnaha te whakatau.

$$x=0,y=-\frac{s}{2c}$$

Whakaoti mō x, y

$$\left\{\begin{matrix}x=0\text{, }y=-\frac{s}{2c}\text{, }&c\neq 0\\x=0\text{, }y\in \mathrm{R}\text{, }&s=0\text{ and }c=0\\x=\frac{s}{7}\text{, }y=0\text{, }&s=0\text{ or }c=0\\x=\frac{s}{7}\text{, }y\in \mathrm{R}\text{, }&c=0\end{matrix}\right.$$

Ngā Upane e Whakamahi ana i te Whakakapinga

Whakaarohia te whārite tuatahi. Tangohia te 2y mai i ngā taha e rua.

$$3cx+2y-2y=0$$

Pahekotia te 2y me -2y, ka 0.

$$3cx=0$$

Whakaarohia te whārite tuarua. Tangohia te 7x mai i ngā taha e rua.

$$2cy+s-7x=0$$

Tangohia te s mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$2cy-7x=-s$$

Hei whakaoti i ētahi whārite takirua mā te whakakapinga, me whakaoti tētahi whārite i te tuatahi mō tētahi o ngā taurangi. Ka whakakapi i te otinga mō taua taurangi ki tērā o ngā whārite.

$$3cx=0,-7x+2cy=-s$$

Tīpakohia tētahi o ngā whārite e rua he māmā ake ki te whakaoti mō te x mā te wehe i te x i te taha mauī o te tohu ōrite.

$$3cx=0$$

Whakawehea ngā taha e rua ki te 3c.

$$x=0$$

Whakakapia te 0 mō te x ki tērā atu whārite, -7x+2cy=-s.

$$2cy=-s$$

Whakawehea ngā taha e rua ki te 2c.

$$y=-\frac{s}{2c}$$

Kua oti te pūnaha te whakatau.

$$x=0,y=-\frac{s}{2c}$$