Whakaoti i te 8x+5=bx-7

$$8 x + 5 = b x - 7$$

Whakaoti mō b

$$b=8+\frac{12}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$bx-7=8x+5$$

Me tāpiri te 7 ki ngā taha e rua.

$$bx=8x+5+7$$

Tāpirihia te 5 ki te 7, ka 12.

$$bx=8x+12$$

He hanga arowhānui tō te whārite.

$$xb=8x+12$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xb}{x}=\frac{8x+12}{x}$$

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

$$b=\frac{8x+12}{x}$$

Whakawehe 8x+12 ki te x.

$$b=8+\frac{12}{x}$$

Whakaoti mō x

$$x=-\frac{12}{8-b}$$

$$b\neq 8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te bx mai i ngā taha e rua.

$$8x+5-bx=-7$$

Tangohia te 5 mai i ngā taha e rua.

$$8x-bx=-7-5$$

Tangohia te 5 i te -7, ka -12.

$$8x-bx=-12$$

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

$$\left(8-b\right)x=-12$$

Whakawehea ngā taha e rua ki te 8-b.

$$\frac{\left(8-b\right)x}{8-b}=-\frac{12}{8-b}$$

Mā te whakawehe ki te 8-b ka wetekia te whakareanga ki te 8-b.

$$x=-\frac{12}{8-b}$$