Whakaoti i te 2x+3x+9=8(6-x)(R:3)

$$2 x + 3 x + 9 = 8 ( 6 - x ) ( R : 3 )$$

Whakaoti mō R

$$R=-\frac{3\left(5x+9\right)}{8\left(x-6\right)}$$

$$x\neq 6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 3.

$$6x+9x+27=8\left(6-x\right)R$$

Pahekotia te 6x me 9x, ka 15x.

$$15x+27=8\left(6-x\right)R$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 6-x.

$$15x+27=\left(48-8x\right)R$$

Whakamahia te āhuatanga tohatoha hei whakarea te 48-8x ki te R.

$$15x+27=48R-8xR$$

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

$$48R-8xR=15x+27$$

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

$$\left(48-8x\right)R=15x+27$$

Whakawehea ngā taha e rua ki te 48-8x.

$$\frac{\left(48-8x\right)R}{48-8x}=\frac{15x+27}{48-8x}$$

Mā te whakawehe ki te 48-8x ka wetekia te whakareanga ki te 48-8x.

$$R=\frac{15x+27}{48-8x}$$

Whakawehe 15x+27 ki te 48-8x.

$$R=\frac{3\left(5x+9\right)}{8\left(6-x\right)}$$

Whakaoti mō x

$$x=-\frac{3\left(9-16R\right)}{8R+15}$$

$$R\neq -\frac{15}{8}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 3.

$$6x+9x+27=8\left(6-x\right)R$$

Pahekotia te 6x me 9x, ka 15x.

$$15x+27=8\left(6-x\right)R$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 6-x.

$$15x+27=\left(48-8x\right)R$$

Whakamahia te āhuatanga tohatoha hei whakarea te 48-8x ki te R.

$$15x+27=48R-8xR$$

Me tāpiri te 8xR ki ngā taha e rua.

$$15x+27+8xR=48R$$

Tangohia te 27 mai i ngā taha e rua.

$$15x+8xR=48R-27$$

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

$$\left(15+8R\right)x=48R-27$$

He hanga arowhānui tō te whārite.

$$\left(8R+15\right)x=48R-27$$

Whakawehea ngā taha e rua ki te 15+8R.

$$\frac{\left(8R+15\right)x}{8R+15}=\frac{48R-27}{8R+15}$$

Mā te whakawehe ki te 15+8R ka wetekia te whakareanga ki te 15+8R.

$$x=\frac{48R-27}{8R+15}$$

Whakawehe 48R-27 ki te 15+8R.

$$x=\frac{3\left(16R-9\right)}{8R+15}$$