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

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

G uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

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

0 hosil qilish uchun 0 va 3 ni ko'paytirish.

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

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

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

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

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

Ikkala tarafdan 600-4P_{A}-0 ni ayirish.

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

12P_{A} ni ikki tarafga qo’shing.

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

Ikkala tarafdan 6P_{B} ni ayirish.

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

Ikkala tarafdan 15N ni ayirish.

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

Shartlarni qayta saralash.

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

-4P_{A}+600 teskarisini topish uchun har birining teskarisini toping.

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

16P_{A} ni olish uchun 4P_{A} va 12P_{A} ni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini 15 ga bo‘ling.

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

15 ga bo'lish 15 ga ko'paytirishni bekor qiladi.

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

Q_{1}+16P_{A}-600-15N-6P_{B} ni 15 ga bo'lish.

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

M uchun yechish (complex solution)

$$M\in \mathrm{C}$$

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

M uchun yechish

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

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