Whakaoti i te 35x+2/11x+7=5

$$\frac{ 35x+2 }{ 11x+7 } =5$$

Whakaoti mō x

$$x = -\frac{33}{20} = -1\frac{13}{20} = -1.65$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -\frac{7}{11} nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 11x+7.

$$35x+2=5\left(11x+7\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 11x+7.

$$35x+2=55x+35$$

Tangohia te 55x mai i ngā taha e rua.

$$35x+2-55x=35$$

Pahekotia te 35x me -55x, ka -20x.

$$-20x+2=35$$

Tangohia te 2 mai i ngā taha e rua.

$$-20x=35-2$$

Tangohia te 2 i te 35, ka 33.

$$-20x=33$$

Whakawehea ngā taha e rua ki te -20.

$$x=\frac{33}{-20}$$

Ka taea te hautanga \frac{33}{-20} te tuhi anō ko -\frac{33}{20} mā te tango i te tohu tōraro.

$$x=-\frac{33}{20}$$