Whakaoti i te y-5/b=4/7

$$y - \frac { 5 } { b } = \frac { 4 } { 7 }$$

Whakaoti mō b

$$b=-\frac{35}{4-7y}$$

$$y\neq \frac{4}{7}$$

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 7b, arā, te tauraro pātahi he tino iti rawa te kitea o b,7.

$$7by-7\times 5=4b$$

Whakareatia te -7 ki te 5, ka -35.

$$7by-35=4b$$

Tangohia te 4b mai i ngā taha e rua.

$$7by-35-4b=0$$

Me tāpiri te 35 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$7by-4b=35$$

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

$$\left(7y-4\right)b=35$$

Whakawehea ngā taha e rua ki te 7y-4.

$$\frac{\left(7y-4\right)b}{7y-4}=\frac{35}{7y-4}$$

Mā te whakawehe ki te 7y-4 ka wetekia te whakareanga ki te 7y-4.

$$b=\frac{35}{7y-4}$$

Tē taea kia ōrite te tāupe b ki 0.

$$b=\frac{35}{7y-4}\text{, }b\neq 0$$

Whakaoti mō y

$$y=\frac{4}{7}+\frac{5}{b}$$

$$b\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 7b, arā, te tauraro pātahi he tino iti rawa te kitea o b,7.

$$7by-7\times 5=4b$$

Whakareatia te -7 ki te 5, ka -35.

$$7by-35=4b$$

Me tāpiri te 35 ki ngā taha e rua.

$$7by=4b+35$$

Whakawehea ngā taha e rua ki te 7b.

$$\frac{7by}{7b}=\frac{4b+35}{7b}$$

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

$$y=\frac{4b+35}{7b}$$

Whakawehe 4b+35 ki te 7b.

$$y=\frac{4}{7}+\frac{5}{b}$$