Whakaoti i te 1-p/6+2p/3-1-7p/4=21/6

$$\frac { 1 - p } { 6 } + \frac { 2 p } { 3 } - \frac { 1 - 7 p } { 4 } = 2 \frac { 1 } { 6 }$$

Whakaoti mō p

$$p=1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 6,3,4.

$$2\left(1-p\right)+4\times 2p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 1-p.

$$2-2p+4\times 2p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Whakareatia te 4 ki te 2, ka 8.

$$2-2p+8p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Pahekotia te -2p me 8p, ka 6p.

$$2+6p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 1-7p.

$$2+6p-3+21p=2\left(2\times 6+1\right)$$

Tangohia te 3 i te 2, ka -1.

$$-1+6p+21p=2\left(2\times 6+1\right)$$

Pahekotia te 6p me 21p, ka 27p.

$$-1+27p=2\left(2\times 6+1\right)$$

Whakareatia te 2 ki te 6, ka 12.

$$-1+27p=2\left(12+1\right)$$

Tāpirihia te 12 ki te 1, ka 13.

$$-1+27p=2\times 13$$

Whakareatia te 2 ki te 13, ka 26.

$$-1+27p=26$$

Me tāpiri te 1 ki ngā taha e rua.

$$27p=26+1$$

Tāpirihia te 26 ki te 1, ka 27.

$$27p=27$$

Whakawehea ngā taha e rua ki te 27.

$$p=\frac{27}{27}$$

Whakawehea te 27 ki te 27, kia riro ko 1.

$$p=1$$