Whakaoti i te 2x+3+(y-1)4x-1=30x-4

$$2x+3+(y-1)4x-1=30x-4$$

Whakaoti mō x

$$x=-\frac{3}{2\left(y-8\right)}$$

$$y\neq 8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te y-1 ki te 4.

$$2x+3+\left(4y-4\right)x-1=30x-4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4y-4 ki te x.

$$2x+3+4yx-4x-1=30x-4$$

Pahekotia te 2x me -4x, ka -2x.

$$-2x+3+4yx-1=30x-4$$

Tangohia te 1 i te 3, ka 2.

$$-2x+2+4yx=30x-4$$

Tangohia te 30x mai i ngā taha e rua.

$$-2x+2+4yx-30x=-4$$

Pahekotia te -2x me -30x, ka -32x.

$$-32x+2+4yx=-4$$

Tangohia te 2 mai i ngā taha e rua.

$$-32x+4yx=-4-2$$

Tangohia te 2 i te -4, ka -6.

$$-32x+4yx=-6$$

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

$$\left(-32+4y\right)x=-6$$

He hanga arowhānui tō te whārite.

$$\left(4y-32\right)x=-6$$

Whakawehea ngā taha e rua ki te 4y-32.

$$\frac{\left(4y-32\right)x}{4y-32}=-\frac{6}{4y-32}$$

Mā te whakawehe ki te 4y-32 ka wetekia te whakareanga ki te 4y-32.

$$x=-\frac{6}{4y-32}$$

Whakawehe -6 ki te 4y-32.

$$x=-\frac{3}{2\left(y-8\right)}$$

Whakaoti mō y

$$y=8-\frac{3}{2x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te y-1 ki te 4.

$$2x+3+\left(4y-4\right)x-1=30x-4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4y-4 ki te x.

$$2x+3+4yx-4x-1=30x-4$$

Pahekotia te 2x me -4x, ka -2x.

$$-2x+3+4yx-1=30x-4$$

Tangohia te 1 i te 3, ka 2.

$$-2x+2+4yx=30x-4$$

Me tāpiri te 2x ki ngā taha e rua.

$$2+4yx=30x-4+2x$$

Pahekotia te 30x me 2x, ka 32x.

$$2+4yx=32x-4$$

Tangohia te 2 mai i ngā taha e rua.

$$4yx=32x-4-2$$

Tangohia te 2 i te -4, ka -6.

$$4yx=32x-6$$

He hanga arowhānui tō te whārite.

$$4xy=32x-6$$

Whakawehea ngā taha e rua ki te 4x.

$$\frac{4xy}{4x}=\frac{32x-6}{4x}$$

Mā te whakawehe ki te 4x ka wetekia te whakareanga ki te 4x.

$$y=\frac{32x-6}{4x}$$

Whakawehe 32x-6 ki te 4x.

$$y=8-\frac{3}{2x}$$