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

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

Riješite za G

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

Koraci za rješavanje linearne jednačine

Pomnožite 0 i 0 da biste dobili 0.

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

Pomnožite 0 i 3 da biste dobili 0.

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

Bilo šta puta nula daje nulu.

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

Zamijenite strane tako da svi promjenljivi izrazi budu na lijevoj strani.

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

Oduzmite 600-4P_{A}-0 s obje strane.

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

Dodajte 12P_{A} na obje strane.

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

Oduzmite 6P_{B} s obje strane.

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

Oduzmite 15N s obje strane.

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

Prerasporedite termine.

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

Da biste pronašli suprotnu vrijednost od -4P_{A}+600, pronađite suprotnu vrijednost svakog izraza.

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

Kombinirajte 4P_{A} i 12P_{A} da biste dobili 16P_{A}.

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

Jednačina je u standardnom obliku.

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

Podijelite obje strane s 15.

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

Dijelјenje sa 15 poništava množenje sa 15.

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

Podijelite Q_{1}+16P_{A}-600-15N-6P_{B} sa 15.

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

Riješite za M (complex solution)

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

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

Riješite za M

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

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