Whakaoti i te {r}{4x+5y-3z=-7}{y=5}{6y-5z=10}

$$\left. \begin{array} { r } { 4 x + 5 y - 3 z = - 7 } \\ { y = 5 } \\ { 6 y - 5 z = 10 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=-5$$

$$y=5$$

$$z=4$$

Ngā Upane Otinga

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

$$6\times 5-5z=10$$

Whakareatia te 6 ki te 5, ka 30.

$$30-5z=10$$

Tangohia te 30 mai i ngā taha e rua.

$$-5z=10-30$$

Tangohia te 30 i te 10, ka -20.

$$-5z=-20$$

Whakawehea ngā taha e rua ki te -5.

$$z=\frac{-20}{-5}$$

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

$$z=4$$

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

$$4x+5\times 5-3\times 4=-7$$

Mahia ngā whakarea.

$$4x+25-12=-7$$

Tangohia te 12 i te 25, ka 13.

$$4x+13=-7$$

Tangohia te 13 mai i ngā taha e rua.

$$4x=-7-13$$

Tangohia te 13 i te -7, 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.

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