Whakaoti i te 2(3y-2)=8(2y-3)(v)

$$2 ( 3 y - 2 ) = 8 ( 2 y - 3 ) ( v )$$

Whakaoti mō v

$$v=-\frac{3y-2}{4\left(3-2y\right)}$$

$$y\neq \frac{3}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3y-2.

$$6y-4=8\left(2y-3\right)v$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 2y-3.

$$6y-4=\left(16y-24\right)v$$

Whakamahia te āhuatanga tohatoha hei whakarea te 16y-24 ki te v.

$$6y-4=16yv-24v$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$16yv-24v=6y-4$$

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

$$\left(16y-24\right)v=6y-4$$

Whakawehea ngā taha e rua ki te 16y-24.

$$\frac{\left(16y-24\right)v}{16y-24}=\frac{6y-4}{16y-24}$$

Mā te whakawehe ki te 16y-24 ka wetekia te whakareanga ki te 16y-24.

$$v=\frac{6y-4}{16y-24}$$

Whakawehe 6y-4 ki te 16y-24.

$$v=\frac{3y-2}{4\left(2y-3\right)}$$

Whakaoti mō y

$$y=-\frac{2\left(6v-1\right)}{3-8v}$$

$$v\neq \frac{3}{8}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3y-2.

$$6y-4=8\left(2y-3\right)v$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 2y-3.

$$6y-4=\left(16y-24\right)v$$

Whakamahia te āhuatanga tohatoha hei whakarea te 16y-24 ki te v.

$$6y-4=16yv-24v$$

Tangohia te 16yv mai i ngā taha e rua.

$$6y-4-16yv=-24v$$

Me tāpiri te 4 ki ngā taha e rua.

$$6y-16yv=-24v+4$$

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

$$\left(6-16v\right)y=-24v+4$$

He hanga arowhānui tō te whārite.

$$\left(6-16v\right)y=4-24v$$

Whakawehea ngā taha e rua ki te -16v+6.

$$\frac{\left(6-16v\right)y}{6-16v}=\frac{4-24v}{6-16v}$$

Mā te whakawehe ki te -16v+6 ka wetekia te whakareanga ki te -16v+6.

$$y=\frac{4-24v}{6-16v}$$

Whakawehe -24v+4 ki te -16v+6.

$$y=\frac{2\left(1-6v\right)}{3-8v}$$