Whakaoti i te 63:x-2=-51/3*3-4

$$63 : x - 2 = - 5 \frac { 1 } { 3 } \cdot 3 - 4$$

Whakaoti mō x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 3x, arā, te tauraro pātahi he tino iti rawa te kitea o x,3.

$$3\times 63+3x\left(-2\right)=\left(-\frac{5\times 3+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Whakareatia te 3 ki te 63, ka 189.

$$189+3x\left(-2\right)=\left(-\frac{5\times 3+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Whakareatia te 3 ki te -2, ka -6.

$$189-6x=\left(-\frac{5\times 3+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Whakareatia te 5 ki te 3, ka 15.

$$189-6x=\left(-\frac{15+1}{3}\right)\times 3\times 3x+3x\left(-4\right)$$

Tāpirihia te 15 ki te 1, ka 16.

$$189-6x=-\frac{16}{3}\times 3\times 3x+3x\left(-4\right)$$

Me whakakore te 3 me te 3.

$$189-6x=-16\times 3x+3x\left(-4\right)$$

Whakareatia te -16 ki te 3, ka -48.

$$189-6x=-48x+3x\left(-4\right)$$

Whakareatia te 3 ki te -4, ka -12.

$$189-6x=-48x-12x$$

Pahekotia te -48x me -12x, ka -60x.

$$189-6x=-60x$$

Me tāpiri te 60x ki ngā taha e rua.

$$189-6x+60x=0$$

Pahekotia te -6x me 60x, ka 54x.

$$189+54x=0$$

Tangohia te 189 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$54x=-189$$

Whakawehea ngā taha e rua ki te 54.

$$x=\frac{-189}{54}$$

Whakahekea te hautanga \frac{-189}{54} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 27.

$$x=-\frac{7}{2}$$