Whakaoti i te 91x-42y+sqrt{2}=4

$$91 x - 42 y + \sqrt { 2 } = 4$$

Whakaoti mō x

$$x=\frac{6y}{13}-\frac{\sqrt{2}}{91}+\frac{4}{91}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te 42y ki ngā taha e rua.

$$91x+\sqrt{2}=4+42y$$

Tangohia te \sqrt{2} mai i ngā taha e rua.

$$91x=4+42y-\sqrt{2}$$

He hanga arowhānui tō te whārite.

$$91x=42y+4-\sqrt{2}$$

Whakawehea ngā taha e rua ki te 91.

$$\frac{91x}{91}=\frac{42y+4-\sqrt{2}}{91}$$

Mā te whakawehe ki te 91 ka wetekia te whakareanga ki te 91.

$$x=\frac{42y+4-\sqrt{2}}{91}$$

Whakawehe 4+42y-\sqrt{2} ki te 91.

$$x=\frac{6y}{13}-\frac{\sqrt{2}}{91}+\frac{4}{91}$$

Whakaoti mō y

$$y=\frac{91x+\sqrt{2}-4}{42}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 91x mai i ngā taha e rua.

$$-42y+\sqrt{2}=4-91x$$

Tangohia te \sqrt{2} mai i ngā taha e rua.

$$-42y=4-91x-\sqrt{2}$$

He hanga arowhānui tō te whārite.

$$-42y=-91x+4-\sqrt{2}$$

Whakawehea ngā taha e rua ki te -42.

$$\frac{-42y}{-42}=\frac{-91x+4-\sqrt{2}}{-42}$$

Mā te whakawehe ki te -42 ka wetekia te whakareanga ki te -42.

$$y=\frac{-91x+4-\sqrt{2}}{-42}$$

Whakawehe 4-91x-\sqrt{2} ki te -42.

$$y=\frac{13x}{6}+\frac{\sqrt{2}}{42}-\frac{2}{21}$$