Whakaoti i te {l}{2k-y=2}{3x=2(5-y)}

$$\left\{ \begin{array} { l } { 2 k - y = 2 } \\ { 3 x = 2 ( 5 - y ) } \end{array} \right.$$

Whakaoti mō x, y

$$x=\frac{14-4k}{3}$$

$$y=2k-2$$

Ngā Upane e Whakamahi ana i te Whakakapinga

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

$$-y=2-2k$$

Whakaarohia te whārite tuarua. Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 5-y.

$$3x=10-2y$$

Me tāpiri te 2y ki ngā taha e rua.

$$3x+2y=10$$

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.

$$-y=2-2k,2y+3x=10$$

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

$$-y=2-2k$$

Whakawehea ngā taha e rua ki te -1.

$$y=2k-2$$

Whakakapia te -2+2k mō te y ki tērā atu whārite, 2y+3x=10.

$$2\left(2k-2\right)+3x=10$$

Whakareatia 2 ki te -2+2k.

$$4k-4+3x=10$$

Me tango -4+4k mai i ngā taha e rua o te whārite.

$$3x=14-4k$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{14-4k}{3}$$

Kua oti te pūnaha te whakatau.

$$y=2k-2,x=\frac{14-4k}{3}$$