Whakaoti i te W=200x+170(T0-x)+(62u-40-x)+150(x-10)

$$W = 200 x + 170 ( T 0 - x ) + ( 62 u - 40 - x ) + 150 ( x - 10 )$$

Whakaoti mō T_0

$$T_{0}=\frac{1540-62u+W-179x}{170}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 170 ki te T_{0}-x.

$$W=200x+170T_{0}-170x+62u-40-x+150\left(x-10\right)$$

Pahekotia te 200x me -170x, ka 30x.

$$W=30x+170T_{0}+62u-40-x+150\left(x-10\right)$$

Pahekotia te 30x me -x, ka 29x.

$$W=29x+170T_{0}+62u-40+150\left(x-10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 150 ki te x-10.

$$W=29x+170T_{0}+62u-40+150x-1500$$

Pahekotia te 29x me 150x, ka 179x.

$$W=179x+170T_{0}+62u-40-1500$$

Tangohia te 1500 i te -40, ka -1540.

$$W=179x+170T_{0}+62u-1540$$

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

$$179x+170T_{0}+62u-1540=W$$

Tangohia te 179x mai i ngā taha e rua.

$$170T_{0}+62u-1540=W-179x$$

Tangohia te 62u mai i ngā taha e rua.

$$170T_{0}-1540=W-179x-62u$$

Me tāpiri te 1540 ki ngā taha e rua.

$$170T_{0}=W-179x-62u+1540$$

He hanga arowhānui tō te whārite.

$$170T_{0}=1540-62u+W-179x$$

Whakawehea ngā taha e rua ki te 170.

$$\frac{170T_{0}}{170}=\frac{1540-62u+W-179x}{170}$$

Mā te whakawehe ki te 170 ka wetekia te whakareanga ki te 170.

$$T_{0}=\frac{1540-62u+W-179x}{170}$$

Whakawehe W-179x-62u+1540 ki te 170.

$$T_{0}=\frac{W}{170}-\frac{31u}{85}-\frac{179x}{170}+\frac{154}{17}$$

Whakaoti mō W

$$W=179x+62u+170T_{0}-1540$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 170 ki te T_{0}-x.

$$W=200x+170T_{0}-170x+62u-40-x+150\left(x-10\right)$$

Pahekotia te 200x me -170x, ka 30x.

$$W=30x+170T_{0}+62u-40-x+150\left(x-10\right)$$

Pahekotia te 30x me -x, ka 29x.

$$W=29x+170T_{0}+62u-40+150\left(x-10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 150 ki te x-10.

$$W=29x+170T_{0}+62u-40+150x-1500$$

Pahekotia te 29x me 150x, ka 179x.

$$W=179x+170T_{0}+62u-40-1500$$

Tangohia te 1500 i te -40, ka -1540.

$$W=179x+170T_{0}+62u-1540$$