Whakaoti i te (34-x)4/7=2/5x

$$( 34 - x ) \frac { 4 } { 7 } = \frac { 2 } { 5 } x$$

Whakaoti mō x

$$x=20$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 34-x ki te \frac{4}{7}.

$$34\times \frac{4}{7}-x\times \frac{4}{7}=\frac{2}{5}x$$

Tuhia te 34\times \frac{4}{7} hei hautanga kotahi.

$$\frac{34\times 4}{7}-x\times \frac{4}{7}=\frac{2}{5}x$$

Whakareatia te 34 ki te 4, ka 136.

$$\frac{136}{7}-x\times \frac{4}{7}=\frac{2}{5}x$$

Whakareatia te -1 ki te \frac{4}{7}, ka -\frac{4}{7}.

$$\frac{136}{7}-\frac{4}{7}x=\frac{2}{5}x$$

Tangohia te \frac{2}{5}x mai i ngā taha e rua.

$$\frac{136}{7}-\frac{4}{7}x-\frac{2}{5}x=0$$

Pahekotia te -\frac{4}{7}x me -\frac{2}{5}x, ka -\frac{34}{35}x.

$$\frac{136}{7}-\frac{34}{35}x=0$$

Tangohia te \frac{136}{7} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{34}{35}x=-\frac{136}{7}$$

Me whakarea ngā taha e rua ki te -\frac{35}{34}, te tau utu o -\frac{34}{35}.

$$x=-\frac{136}{7}\left(-\frac{35}{34}\right)$$

Me whakarea te -\frac{136}{7} ki te -\frac{35}{34} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-136\left(-35\right)}{7\times 34}$$

Mahia ngā whakarea i roto i te hautanga \frac{-136\left(-35\right)}{7\times 34}.

$$x=\frac{4760}{238}$$

Whakawehea te 4760 ki te 238, kia riro ko 20.

$$x=20$$