Whakaoti i te 3-(-4)/-2-a=-10-(-3)/-5-6

$$\frac { 3 - ( - 4 ) } { - 2 - a } = \frac { - 10 - ( - 3 ) } { - 5 - 6 }$$

Whakaoti mō a

$$a=-13$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki -2 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te -a-2.

$$3-\left(-4\right)=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10-\left(-3\right)\right)$$

Ko te tauaro o -4 ko 4.

$$3+4=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10-\left(-3\right)\right)$$

Tāpirihia te 3 ki te 4, ka 7.

$$7=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10-\left(-3\right)\right)$$

Ko te tauaro o -3 ko 3.

$$7=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10+3\right)$$

Tāpirihia te -10 ki te 3, ka -7.

$$7=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-7\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{11}a+\frac{2}{11} ki te -7.

$$7=-\frac{7}{11}a-\frac{14}{11}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$-\frac{7}{11}a-\frac{14}{11}=7$$

Me tāpiri te \frac{14}{11} ki ngā taha e rua.

$$-\frac{7}{11}a=7+\frac{14}{11}$$

Tāpirihia te 7 ki te \frac{14}{11}, ka \frac{91}{11}.

$$-\frac{7}{11}a=\frac{91}{11}$$

Me whakarea ngā taha e rua ki te -\frac{11}{7}, te tau utu o -\frac{7}{11}.

$$a=\frac{91}{11}\left(-\frac{11}{7}\right)$$

Whakareatia te \frac{91}{11} ki te -\frac{11}{7}, ka -13.

$$a=-13$$