Whakaoti i te 22*670left(x-91right)=100*4184left(900-xright)

$$22 \times 670 \left( x-91 \right) = 100 \cdot 4184 \left( 900-x \right)$$

Whakaoti mō x

$$x = \frac{18895067}{21657} = 872\frac{10163}{21657} \approx 872.469270905$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 22 ki te 670, ka 14740.

$$14740\left(x-91\right)=100\times 4184\left(900-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 14740 ki te x-91.

$$14740x-1341340=100\times 4184\left(900-x\right)$$

Whakareatia te 100 ki te 4184, ka 418400.

$$14740x-1341340=418400\left(900-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 418400 ki te 900-x.

$$14740x-1341340=376560000-418400x$$

Me tāpiri te 418400x ki ngā taha e rua.

$$14740x-1341340+418400x=376560000$$

Pahekotia te 14740x me 418400x, ka 433140x.

$$433140x-1341340=376560000$$

Me tāpiri te 1341340 ki ngā taha e rua.

$$433140x=376560000+1341340$$

Tāpirihia te 376560000 ki te 1341340, ka 377901340.

$$433140x=377901340$$

Whakawehea ngā taha e rua ki te 433140.

$$x=\frac{377901340}{433140}$$

Whakahekea te hautanga \frac{377901340}{433140} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$x=\frac{18895067}{21657}$$