Whakaoti i te Q_{1}=600-4P_{A}-003M-12P_{A}+15G+6P_{B}+15N

$$Q _ { 1 } = 600 - 4 P _ { A } - 003 M - 12 P _ { A } + 15 G + 6 P _ { B } + 15 N$$

Whakaoti mō G

$$G=\frac{-15N+16P_{A}-6P_{B}+Q_{1}-600}{15}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0 ki te 0, ka 0.

$$Q_{1}=600-4P_{A}-0\times 3M-12P_{A}+15G+6P_{B}+15N$$

Whakareatia te 0 ki te 3, ka 0.

$$Q_{1}=600-4P_{A}-0M-12P_{A}+15G+6P_{B}+15N$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$Q_{1}=600-4P_{A}-0-12P_{A}+15G+6P_{B}+15N$$

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

$$600-4P_{A}-0-12P_{A}+15G+6P_{B}+15N=Q_{1}$$

Tangohia te 600-4P_{A}-0 mai i ngā taha e rua.

$$-12P_{A}+15G+6P_{B}+15N=Q_{1}-\left(600-4P_{A}-0\right)$$

Me tāpiri te 12P_{A} ki ngā taha e rua.

$$15G+6P_{B}+15N=Q_{1}-\left(600-4P_{A}-0\right)+12P_{A}$$

Tangohia te 6P_{B} mai i ngā taha e rua.

$$15G+15N=Q_{1}-\left(600-4P_{A}-0\right)+12P_{A}-6P_{B}$$

Tangohia te 15N mai i ngā taha e rua.

$$15G=Q_{1}-\left(600-4P_{A}-0\right)+12P_{A}-6P_{B}-15N$$

Whakaraupapatia anō ngā kīanga tau.

$$15G=Q_{1}-\left(-4P_{A}+600\right)-15N-6P_{B}+12P_{A}$$

Hei kimi i te tauaro o -4P_{A}+600, kimihia te tauaro o ia taurangi.

$$15G=Q_{1}+4P_{A}-600-15N-6P_{B}+12P_{A}$$

Pahekotia te 4P_{A} me 12P_{A}, ka 16P_{A}.

$$15G=Q_{1}+16P_{A}-600-15N-6P_{B}$$

He hanga arowhānui tō te whārite.

$$15G=-15N+16P_{A}-6P_{B}+Q_{1}-600$$

Whakawehea ngā taha e rua ki te 15.

$$\frac{15G}{15}=\frac{-15N+16P_{A}-6P_{B}+Q_{1}-600}{15}$$

Mā te whakawehe ki te 15 ka wetekia te whakareanga ki te 15.

$$G=\frac{-15N+16P_{A}-6P_{B}+Q_{1}-600}{15}$$

Whakawehe Q_{1}+16P_{A}-600-15N-6P_{B} ki te 15.

$$G=\frac{Q_{1}}{15}+\frac{16P_{A}}{15}-\frac{2P_{B}}{5}-N-40$$

Whakaoti mō M

$$M\in \mathrm{R}$$

$$Q_{1}=15G+15N-16P_{A}+6P_{B}+600$$