Whakaoti i te x=-3y-z/2y+1

$$x = \frac { - 3 y - z } { 2 y + 1 }$$

Whakaoti mō y

$$\left\{\begin{matrix}y=-\frac{x+z}{2x+3}\text{, }&z\neq \frac{3}{2}\text{ and }x\neq -\frac{3}{2}\\y\neq -\frac{1}{2}\text{, }&x=-\frac{3}{2}\text{ and }z=\frac{3}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki -\frac{1}{2} nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2y+1.

$$x\left(2y+1\right)=-3y-z$$

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te 2y+1.

$$2xy+x=-3y-z$$

Me tāpiri te 3y ki ngā taha e rua.

$$2xy+x+3y=-z$$

Tangohia te x mai i ngā taha e rua.

$$2xy+3y=-z-x$$

Pahekotia ngā kīanga tau katoa e whai ana i te y.

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

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te 2x+3.

$$\frac{\left(2x+3\right)y}{2x+3}=\frac{-x-z}{2x+3}$$

Mā te whakawehe ki te 2x+3 ka wetekia te whakareanga ki te 2x+3.

$$y=\frac{-x-z}{2x+3}$$

Whakawehe -z-x ki te 2x+3.

$$y=-\frac{x+z}{2x+3}$$

Tē taea kia ōrite te tāupe y ki -\frac{1}{2}.

$$y=-\frac{x+z}{2x+3}\text{, }y\neq -\frac{1}{2}$$

Whakaoti mō x

$$x=-\frac{3y+z}{2y+1}$$

$$y\neq -\frac{1}{2}$$