2x/3+3x/4+x/2=53/4 eching

$$\frac { 2 x } { 3 } + \frac { 3 x } { 4 } + \frac { x } { 2 } = 5 \frac { 3 } { 4 }$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,4,2 ning eng kichik karralisiga ko‘paytiring.

$$4\times 2x+3\times 3x+6x=3\left(5\times 4+3\right)$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$8x+3\times 3x+6x=3\left(5\times 4+3\right)$$

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

$$8x+9x+6x=3\left(5\times 4+3\right)$$

17x ni olish uchun 8x va 9x ni birlashtirish.

$$17x+6x=3\left(5\times 4+3\right)$$

23x ni olish uchun 17x va 6x ni birlashtirish.

$$23x=3\left(5\times 4+3\right)$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$23x=3\left(20+3\right)$$

23 olish uchun 20 va 3'ni qo'shing.

$$23x=3\times 23$$

69 hosil qilish uchun 3 va 23 ni ko'paytirish.

$$23x=69$$

Ikki tarafini 23 ga bo‘ling.

$$x=\frac{69}{23}$$

3 ni olish uchun 69 ni 23 ga bo‘ling.

$$x=3$$