Whakaoti i te {l}{z=-2}{-3y+4z=4}{-x+2y-3z=-7}

$$\left\{ \begin{array}{l}{ z = - 2 }\\{ - 3 y + 4 z = 4 }\\{ - x + 2 y - 3 z = - 7 }\end{array} \right.$$

Whakaoti mō z, y, x

$$x=5$$

$$y=-4$$

$$z=-2$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$-3y+4\left(-2\right)=4$$

Whakareatia te 4 ki te -2, ka -8.

$$-3y-8=4$$

Me tāpiri te 8 ki ngā taha e rua.

$$-3y=4+8$$

Tāpirihia te 4 ki te 8, ka 12.

$$-3y=12$$

Whakawehea ngā taha e rua ki te -3.

$$y=\frac{12}{-3}$$

Whakawehea te 12 ki te -3, kia riro ko -4.

$$y=-4$$

Whakaarohia te whārite tuatoru. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$-x+2\left(-4\right)-3\left(-2\right)=-7$$

Mahia ngā whakarea.

$$-x-8+6=-7$$

Tāpirihia te -8 ki te 6, ka -2.

$$-x-2=-7$$

Me tāpiri te 2 ki ngā taha e rua.

$$-x=-7+2$$

Tāpirihia te -7 ki te 2, ka -5.

$$-x=-5$$

Whakawehea ngā taha e rua ki te -1.

$$x=\frac{-5}{-1}$$

Ka taea te hautanga \frac{-5}{-1} te whakamāmā ki te 5 mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=5$$

Kua oti te pūnaha te whakatau.

$$z=-2 y=-4 x=5$$