Whakaoti i te 1-4-3x/4=5x+3/b-x

$$1 - \frac { 4 - 3 x } { 4 } = \frac { 5 x + 3 } { b } - x$$

Whakaoti mō b

$$b=\frac{20}{7}+\frac{12}{7x}$$

$$x\neq -\frac{3}{5}\text{ and }x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe b ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 4b, arā, te tauraro pātahi he tino iti rawa te kitea o 4,b.

$$4b-b\left(4-3x\right)=4\left(5x+3\right)-x\times 4b$$

Whakamahia te āhuatanga tohatoha hei whakarea te b ki te 4-3x.

$$4b-\left(4b-3bx\right)=4\left(5x+3\right)-x\times 4b$$

Hei kimi i te tauaro o 4b-3bx, kimihia te tauaro o ia taurangi.

$$4b-4b+3bx=4\left(5x+3\right)-x\times 4b$$

Pahekotia te 4b me -4b, ka 0.

$$3bx=4\left(5x+3\right)-x\times 4b$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 5x+3.

$$3bx=20x+12-x\times 4b$$

Whakareatia te -1 ki te 4, ka -4.

$$3bx=20x+12-4xb$$

Me tāpiri te 4xb ki ngā taha e rua.

$$3bx+4xb=20x+12$$

Pahekotia te 3bx me 4xb, ka 7bx.

$$7bx=20x+12$$

He hanga arowhānui tō te whārite.

$$7xb=20x+12$$

Whakawehea ngā taha e rua ki te 7x.

$$\frac{7xb}{7x}=\frac{20x+12}{7x}$$

Mā te whakawehe ki te 7x ka wetekia te whakareanga ki te 7x.

$$b=\frac{20x+12}{7x}$$

Whakawehe 20x+12 ki te 7x.

$$b=\frac{20}{7}+\frac{12}{7x}$$

Tē taea kia ōrite te tāupe b ki 0.

$$b=\frac{20}{7}+\frac{12}{7x}\text{, }b\neq 0$$

Whakaoti mō x

$$x=\frac{12}{7b-20}$$

$$b\neq \frac{20}{7}\text{ and }b\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 4b, arā, te tauraro pātahi he tino iti rawa te kitea o 4,b.

$$4b-b\left(4-3x\right)=4\left(5x+3\right)-x\times 4b$$

Whakamahia te āhuatanga tohatoha hei whakarea te b ki te 4-3x.

$$4b-\left(4b-3bx\right)=4\left(5x+3\right)-x\times 4b$$

Hei kimi i te tauaro o 4b-3bx, kimihia te tauaro o ia taurangi.

$$4b-4b+3bx=4\left(5x+3\right)-x\times 4b$$

Pahekotia te 4b me -4b, ka 0.

$$3bx=4\left(5x+3\right)-x\times 4b$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 5x+3.

$$3bx=20x+12-x\times 4b$$

Whakareatia te -1 ki te 4, ka -4.

$$3bx=20x+12-4xb$$

Tangohia te 20x mai i ngā taha e rua.

$$3bx-20x=12-4xb$$

Me tāpiri te 4xb ki ngā taha e rua.

$$3bx-20x+4xb=12$$

Pahekotia te 3bx me 4xb, ka 7bx.

$$7bx-20x=12$$

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

$$\left(7b-20\right)x=12$$

Whakawehea ngā taha e rua ki te -20+7b.

$$\frac{\left(7b-20\right)x}{7b-20}=\frac{12}{7b-20}$$

Mā te whakawehe ki te -20+7b ka wetekia te whakareanga ki te -20+7b.

$$x=\frac{12}{7b-20}$$