Whakaoti i te Ay-B=C_{y}+7C

$$A y - B = C _ { y } + 7 C$$

Whakaoti mō A

$$\left\{\begin{matrix}A=\frac{B+C_{y}+7C}{y}\text{, }&y\neq 0\\A\in \mathrm{R}\text{, }&B=-C_{y}-7C\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te B ki ngā taha e rua.

$$Ay=C_{y}+7C+B$$

He hanga arowhānui tō te whārite.

$$yA=B+7C+C_{y}$$

Whakawehea ngā taha e rua ki te y.

$$\frac{yA}{y}=\frac{B+7C+C_{y}}{y}$$

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

$$A=\frac{B+7C+C_{y}}{y}$$

Whakawehe B+7C+C_{y} ki te y.

$$A=\frac{B+C_{y}+7C}{y}$$

Whakaoti mō B

$$B=Ay-C_{y}-7C$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te Ay mai i ngā taha e rua.

$$-B=C_{y}+7C-Ay$$

He hanga arowhānui tō te whārite.

$$-B=7C+C_{y}-Ay$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-B}{-1}=\frac{7C+C_{y}-Ay}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$B=\frac{7C+C_{y}-Ay}{-1}$$

Whakawehe C_{y}+7C-Ay ki te -1.

$$B=Ay-C_{y}-7C$$