1/n+4/p=5/m eching

$$\frac { 1 } { n } + \frac { 4 } { p } = \frac { 5 } { m }$$

m uchun yechish

$$m=\frac{5np}{4n+p}$$

$$n\neq 0\text{ and }p\neq 0\text{ and }n\neq -\frac{p}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

m qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini mnp ga, n,p,m ning eng kichik karralisiga ko‘paytiring.

$$mp+mn\times 4=np\times 5$$

Shartlarni qayta saralash.

$$4mn+mp=5np$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4n+p\right)m=5np$$

Ikki tarafini p+4n ga bo‘ling.

$$\frac{\left(4n+p\right)m}{4n+p}=\frac{5np}{4n+p}$$

p+4n ga bo'lish p+4n ga ko'paytirishni bekor qiladi.

$$m=\frac{5np}{4n+p}$$

m qiymati 0 teng bo‘lmaydi.

$$m=\frac{5np}{4n+p}\text{, }m\neq 0$$

n uchun yechish

$$n=-\frac{mp}{4m-5p}$$

$$p\neq 0\text{ and }m\neq 0\text{ and }p\neq \frac{4m}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini mnp ga, n,p,m ning eng kichik karralisiga ko‘paytiring.

$$mp+mn\times 4=np\times 5$$

Ikkala tarafdan np\times 5 ni ayirish.

$$mp+mn\times 4-np\times 5=0$$

-5 hosil qilish uchun -1 va 5 ni ko'paytirish.

$$mp+mn\times 4-5np=0$$

Ikkala tarafdan mp ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$mn\times 4-5np=-mp$$

n'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(m\times 4-5p\right)n=-mp$$

Tenglama standart shaklda.

$$\left(4m-5p\right)n=-mp$$

Ikki tarafini 4m-5p ga bo‘ling.

$$\frac{\left(4m-5p\right)n}{4m-5p}=-\frac{mp}{4m-5p}$$

4m-5p ga bo'lish 4m-5p ga ko'paytirishni bekor qiladi.

$$n=-\frac{mp}{4m-5p}$$

n qiymati 0 teng bo‘lmaydi.

$$n=-\frac{mp}{4m-5p}\text{, }n\neq 0$$