Whakaoti i te 1000*(x-10)+2000*(x-12)/34000=02

$$\frac { 1000 \times ( x - 10 ) + 2000 \times ( x - 12 ) } { 34000 } = 02$$

Whakaoti mō x

$$x = \frac{34}{3} = 11\frac{1}{3} \approx 11.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 34000.

$$1000\left(x-10\right)+2000\left(x-12\right)=0\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1000 ki te x-10.

$$1000x-10000+2000\left(x-12\right)=0\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2000 ki te x-12.

$$1000x-10000+2000x-24000=0\times 2$$

Pahekotia te 1000x me 2000x, ka 3000x.

$$3000x-10000-24000=0\times 2$$

Tangohia te 24000 i te -10000, ka -34000.

$$3000x-34000=0\times 2$$

Whakareatia te 0 ki te 2, ka 0.

$$3000x-34000=0$$

Me tāpiri te 34000 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$3000x=34000$$

Whakawehea ngā taha e rua ki te 3000.

$$x=\frac{34000}{3000}$$

Whakahekea te hautanga \frac{34000}{3000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1000.

$$x=\frac{34}{3}$$