Whakaoti i te a/4-b/5=4

$$\frac { a } { 4 } - \frac { b } { 5 } = 4$$

Whakaoti mō a

$$a=\frac{4\left(b+20\right)}{5}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 20, arā, te tauraro pātahi he tino iti rawa te kitea o 4,5.

$$5a-4b=80$$

Me tāpiri te 4b ki ngā taha e rua.

$$5a=80+4b$$

He hanga arowhānui tō te whārite.

$$5a=4b+80$$

Whakawehea ngā taha e rua ki te 5.

$$\frac{5a}{5}=\frac{4b+80}{5}$$

Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.

$$a=\frac{4b+80}{5}$$

Whakawehe 80+4b ki te 5.

$$a=\frac{4b}{5}+16$$

Whakaoti mō b

$$b=\frac{5\left(a-16\right)}{4}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 20, arā, te tauraro pātahi he tino iti rawa te kitea o 4,5.

$$5a-4b=80$$

Tangohia te 5a mai i ngā taha e rua.

$$-4b=80-5a$$

Whakawehea ngā taha e rua ki te -4.

$$\frac{-4b}{-4}=\frac{80-5a}{-4}$$

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

$$b=\frac{80-5a}{-4}$$

Whakawehe 80-5a ki te -4.

$$b=\frac{5a}{4}-20$$