Whakaoti i te (xquady-zquadz+3)+(yquad4quad3)=(4quad8quad16)

$$( x \quad y - z \quad z + 3 ) + ( y \quad 4 \quad 3 ) = ( 4 \quad 8 \quad 16 )$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{3y_{4}-z^{2}-509}{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&y_{4}=\frac{z^{2}+509}{3}\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te z ki te z, ka z^{2}.

$$xy-z^{2}+3+y_{4}\times 3=4\times 8\times 16$$

Whakareatia te 4 ki te 8, ka 32.

$$xy-z^{2}+3+y_{4}\times 3=32\times 16$$

Whakareatia te 32 ki te 16, ka 512.

$$xy-z^{2}+3+y_{4}\times 3=512$$

Me tāpiri te z^{2} ki ngā taha e rua.

$$xy+3+y_{4}\times 3=512+z^{2}$$

Tangohia te 3 mai i ngā taha e rua.

$$xy+y_{4}\times 3=512+z^{2}-3$$

Tangohia te 3 i te 512, ka 509.

$$xy+y_{4}\times 3=509+z^{2}$$

Tangohia te y_{4}\times 3 mai i ngā taha e rua.

$$xy=509+z^{2}-y_{4}\times 3$$

Whakareatia te -1 ki te 3, ka -3.

$$xy=509+z^{2}-3y_{4}$$

He hanga arowhānui tō te whārite.

$$yx=509+z^{2}-3y_{4}$$

Whakawehea ngā taha e rua ki te y.

$$\frac{yx}{y}=\frac{509+z^{2}-3y_{4}}{y}$$

Mā te whakawehe ki te y ka wetekia te whakareanga ki te y.

$$x=\frac{509+z^{2}-3y_{4}}{y}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=-\frac{3y_{4}-z^{2}-509}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&y_{4}=\frac{z^{2}+509}{3}\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te z ki te z, ka z^{2}.

$$xy-z^{2}+3+y_{4}\times 3=4\times 8\times 16$$

Whakareatia te 4 ki te 8, ka 32.

$$xy-z^{2}+3+y_{4}\times 3=32\times 16$$

Whakareatia te 32 ki te 16, ka 512.

$$xy-z^{2}+3+y_{4}\times 3=512$$

Me tāpiri te z^{2} ki ngā taha e rua.

$$xy+3+y_{4}\times 3=512+z^{2}$$

Tangohia te 3 mai i ngā taha e rua.

$$xy+y_{4}\times 3=512+z^{2}-3$$

Tangohia te 3 i te 512, ka 509.

$$xy+y_{4}\times 3=509+z^{2}$$

Tangohia te y_{4}\times 3 mai i ngā taha e rua.

$$xy=509+z^{2}-y_{4}\times 3$$

Whakareatia te -1 ki te 3, ka -3.

$$xy=509+z^{2}-3y_{4}$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{509+z^{2}-3y_{4}}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$y=\frac{509+z^{2}-3y_{4}}{x}$$