Whakaoti i te {l}{5y+2z=7}{2y=-2}{4x+6y+5z=4}

$$\left\{ \begin{array}{l}{ 5 y + 2 z = 7 }\\{ 2 y = - 2 }\\{ 4 x + 6 y + 5 z = 4 }\end{array} \right.$$

Whakaoti mō y, z, x

$$x=-5$$

$$y=-1$$

$$z=6$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Whakawehea ngā taha e rua ki te 2.

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

Whakawehea te -2 ki te 2, kia riro ko -1.

$$y=-1$$

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

$$5\left(-1\right)+2z=7$$

Whakareatia te 5 ki te -1, ka -5.

$$-5+2z=7$$

Me tāpiri te 5 ki ngā taha e rua.

$$2z=7+5$$

Tāpirihia te 7 ki te 5, ka 12.

$$2z=12$$

Whakawehea ngā taha e rua ki te 2.

$$z=\frac{12}{2}$$

Whakawehea te 12 ki te 2, kia riro ko 6.

$$z=6$$

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

$$4x+6\left(-1\right)+5\times 6=4$$

Mahia ngā whakarea.

$$4x-6+30=4$$

Tāpirihia te -6 ki te 30, ka 24.

$$4x+24=4$$

Tangohia te 24 mai i ngā taha e rua.

$$4x=4-24$$

Tangohia te 24 i te 4, ka -20.

$$4x=-20$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{-20}{4}$$

Whakawehea te -20 ki te 4, kia riro ko -5.

$$x=-5$$

Kua oti te pūnaha te whakatau.

$$y=-1 z=6 x=-5$$