Whakaoti i te (4-4/5t)k=3/5t

$$( 4 - \frac { 4 } { 5 } t ) k = \frac { 3 } { 5 } t$$

Whakaoti mō k

$$k=\frac{3t}{4\left(5-t\right)}$$

$$t\neq 5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4-\frac{4}{5}t ki te k.

$$4k-\frac{4}{5}tk=\frac{3}{5}t$$

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

$$\left(4-\frac{4}{5}t\right)k=\frac{3}{5}t$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{4t}{5}+4\right)k=\frac{3t}{5}$$

Whakawehea ngā taha e rua ki te 4-\frac{4}{5}t.

$$\frac{\left(-\frac{4t}{5}+4\right)k}{-\frac{4t}{5}+4}=\frac{3t}{5\left(-\frac{4t}{5}+4\right)}$$

Mā te whakawehe ki te 4-\frac{4}{5}t ka wetekia te whakareanga ki te 4-\frac{4}{5}t.

$$k=\frac{3t}{5\left(-\frac{4t}{5}+4\right)}$$

Whakawehe \frac{3t}{5} ki te 4-\frac{4}{5}t.

$$k=\frac{3t}{4\left(5-t\right)}$$

Whakaoti mō t

$$t=\frac{20k}{4k+3}$$

$$k\neq -\frac{3}{4}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4-\frac{4}{5}t ki te k.

$$4k-\frac{4}{5}tk=\frac{3}{5}t$$

Tangohia te \frac{3}{5}t mai i ngā taha e rua.

$$4k-\frac{4}{5}tk-\frac{3}{5}t=0$$

Tangohia te 4k mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{4}{5}tk-\frac{3}{5}t=-4k$$

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

$$\left(-\frac{4}{5}k-\frac{3}{5}\right)t=-4k$$

He hanga arowhānui tō te whārite.

$$\frac{-4k-3}{5}t=-4k$$

Whakawehea ngā taha e rua ki te -\frac{4}{5}k-\frac{3}{5}.

$$\frac{5\times \frac{-4k-3}{5}t}{-4k-3}=\frac{5\left(-4k\right)}{-4k-3}$$

Mā te whakawehe ki te -\frac{4}{5}k-\frac{3}{5} ka wetekia te whakareanga ki te -\frac{4}{5}k-\frac{3}{5}.

$$t=\frac{5\left(-4k\right)}{-4k-3}$$

Whakawehe -4k ki te -\frac{4}{5}k-\frac{3}{5}.

$$t=\frac{20k}{4k+3}$$