Whakaoti i te 5+x/12+x=15/40

$$\frac{ 5+x }{ 12+x } = \frac{ 15 }{ 40 }$$

Whakaoti mō x

$$x=-\frac{4}{5}=-0.8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -12 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 40\left(x+12\right), arā, te tauraro pātahi he tino iti rawa te kitea o 12+x,40.

$$40\left(5+x\right)=\left(x+12\right)\times 15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 40 ki te 5+x.

$$200+40x=\left(x+12\right)\times 15$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+12 ki te 15.

$$200+40x=15x+180$$

Tangohia te 15x mai i ngā taha e rua.

$$200+40x-15x=180$$

Pahekotia te 40x me -15x, ka 25x.

$$200+25x=180$$

Tangohia te 200 mai i ngā taha e rua.

$$25x=180-200$$

Tangohia te 200 i te 180, ka -20.

$$25x=-20$$

Whakawehea ngā taha e rua ki te 25.

$$x=\frac{-20}{25}$$

Whakahekea te hautanga \frac{-20}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=-\frac{4}{5}$$