Whakaoti i te (742*43+x*5)div(742+x)=45

$$(742 \times 43+x \times 5) \div (742+x)=45$$

Whakaoti mō x

$$x = -\frac{371}{10} = -37\frac{1}{10} = -37.1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -742 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+742.

$$742\times 43+x\times 5=45\left(x+742\right)$$

Whakareatia te 742 ki te 43, ka 31906.

$$31906+x\times 5=45\left(x+742\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 45 ki te x+742.

$$31906+x\times 5=45x+33390$$

Tangohia te 45x mai i ngā taha e rua.

$$31906+x\times 5-45x=33390$$

Pahekotia te x\times 5 me -45x, ka -40x.

$$31906-40x=33390$$

Tangohia te 31906 mai i ngā taha e rua.

$$-40x=33390-31906$$

Tangohia te 31906 i te 33390, ka 1484.

$$-40x=1484$$

Whakawehea ngā taha e rua ki te -40.

$$x=\frac{1484}{-40}$$

Whakahekea te hautanga \frac{1484}{-40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=-\frac{371}{10}$$