11/9y+7/18y-5/27y=11/4 eching

$$1 \frac { 1 } { 9 } y + \frac { 7 } { 18 } y - \frac { 5 } { 27 } y = 1 \frac { 1 } { 4 }$$

y uchun yechish

$$y=\frac{135}{142}\approx 0,950704225$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 108 ga, 9,18,27,4 ning eng kichik karralisiga ko‘paytiring.

$$12\left(1\times 9+1\right)y+42y-20y=27\left(1\times 4+1\right)$$

9 hosil qilish uchun 1 va 9 ni ko'paytirish.

$$12\left(9+1\right)y+42y-20y=27\left(1\times 4+1\right)$$

10 olish uchun 9 va 1'ni qo'shing.

$$12\times 10y+42y-20y=27\left(1\times 4+1\right)$$

120 hosil qilish uchun 12 va 10 ni ko'paytirish.

$$120y+42y-20y=27\left(1\times 4+1\right)$$

162y ni olish uchun 120y va 42y ni birlashtirish.

$$162y-20y=27\left(1\times 4+1\right)$$

142y ni olish uchun 162y va -20y ni birlashtirish.

$$142y=27\left(1\times 4+1\right)$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$142y=27\left(4+1\right)$$

5 olish uchun 4 va 1'ni qo'shing.

$$142y=27\times 5$$

135 hosil qilish uchun 27 va 5 ni ko'paytirish.

$$142y=135$$

Ikki tarafini 142 ga bo‘ling.

$$y=\frac{135}{142}$$