Issolvi {l}{3(x+2x+2)/4=4x+y-1/3}{1/3(x+y-1/6(x-y)=frac{y-1}{6}}

$$\left. \begin{array} { l } { \frac { 3 ( x + 2 x + 2 ) } { 4 } = \frac { 4 x + y - 1 } { 3 } } \\ { \frac { 1 } { 3 } ( x + y - \frac { 1 } { 6 } ( x - y ) = \frac { y - 1 } { 6 } } \end{array} \right.$$

Solvi għal x

$$x=\frac{4y}{11}-2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'12, l-inqas denominatur komuni ta' 4,3.

$$3\times 3\left(x+2x+2\right)=4\left(4x+y-1\right)$$

Immultiplika 3 u 3 biex tikseb 9.

$$9\left(x+2x+2\right)=4\left(4x+y-1\right)$$

Ikkombina x u 2x biex tikseb 3x.

$$9\left(3x+2\right)=4\left(4x+y-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 9 b'3x+2.

$$27x+18=4\left(4x+y-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'4x+y-1.

$$27x+18=16x+4y-4$$

Naqqas 16x miż-żewġ naħat.

$$27x+18-16x=4y-4$$

Ikkombina 27x u -16x biex tikseb 11x.

$$11x+18=4y-4$$

Naqqas 18 miż-żewġ naħat.

$$11x=4y-4-18$$

Naqqas 18 minn -4 biex tikseb -22.

$$11x=4y-22$$

Iddividi ż-żewġ naħat b'11.

$$\frac{11x}{11}=\frac{4y-22}{11}$$

Meta tiddividi b'11 titneħħa l-multiplikazzjoni b'11.

$$x=\frac{4y-22}{11}$$

Iddividi 4y-22 b'11.

$$x=\frac{4y}{11}-2$$