22*16+22*8*y/x=54+y/2x*9 eching

$$22 \times 16 + 22 \times 8 \times \frac { y } { x } = 54 + \frac { y } { 2 x } \times 9$$

x uchun yechish

$$x=-\frac{343y}{596}$$

$$y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2x ga, x,2x ning eng kichik karralisiga ko‘paytiring.

$$22\times 16\times 2x+22\times 8\times 2y=2x\times 54+y\times 9$$

Ko‘paytirishlarni bajaring.

$$352\times 2x+176\times 2y=2x\times 54+y\times 9$$

704 hosil qilish uchun 352 va 2 ni ko'paytirish.

$$704x+176\times 2y=2x\times 54+y\times 9$$

352 hosil qilish uchun 176 va 2 ni ko'paytirish.

$$704x+352y=2x\times 54+y\times 9$$

108 hosil qilish uchun 2 va 54 ni ko'paytirish.

$$704x+352y=108x+y\times 9$$

Ikkala tarafdan 108x ni ayirish.

$$704x+352y-108x=y\times 9$$

596x ni olish uchun 704x va -108x ni birlashtirish.

$$596x+352y=y\times 9$$

Ikkala tarafdan 352y ni ayirish.

$$596x=y\times 9-352y$$

-343y ni olish uchun y\times 9 va -352y ni birlashtirish.

$$596x=-343y$$

Ikki tarafini 596 ga bo‘ling.

$$\frac{596x}{596}=-\frac{343y}{596}$$

596 ga bo'lish 596 ga ko'paytirishni bekor qiladi.

$$x=-\frac{343y}{596}$$

x qiymati 0 teng bo‘lmaydi.

$$x=-\frac{343y}{596}\text{, }x\neq 0$$

y uchun yechish

$$y=-\frac{596x}{343}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2x ga, x,2x ning eng kichik karralisiga ko‘paytiring.

$$22\times 16\times 2x+22\times 8\times 2y=2x\times 54+y\times 9$$

Ko‘paytirishlarni bajaring.

$$352\times 2x+176\times 2y=2x\times 54+y\times 9$$

704 hosil qilish uchun 352 va 2 ni ko'paytirish.

$$704x+176\times 2y=2x\times 54+y\times 9$$

352 hosil qilish uchun 176 va 2 ni ko'paytirish.

$$704x+352y=2x\times 54+y\times 9$$

108 hosil qilish uchun 2 va 54 ni ko'paytirish.

$$704x+352y=108x+y\times 9$$

Ikkala tarafdan y\times 9 ni ayirish.

$$704x+352y-y\times 9=108x$$

343y ni olish uchun 352y va -y\times 9 ni birlashtirish.

$$704x+343y=108x$$

Ikkala tarafdan 704x ni ayirish.

$$343y=108x-704x$$

-596x ni olish uchun 108x va -704x ni birlashtirish.

$$343y=-596x$$

Ikki tarafini 343 ga bo‘ling.

$$\frac{343y}{343}=-\frac{596x}{343}$$

343 ga bo'lish 343 ga ko'paytirishni bekor qiladi.

$$y=-\frac{596x}{343}$$