Atrisiniet y=x+72-93xdiv24y+4z

$$y=x+72-93x \div 24y+4z$$

Atrast x (complex solution)

$$\left\{\begin{matrix}x=-\frac{8\left(72+4z-y\right)}{8-31y}\text{, }&y\neq \frac{8}{31}\\x\in \mathrm{C}\text{, }&y=\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Daliet 93x ar 24, lai iegūtu \frac{31}{8}x.

$$y=x+72-\frac{31}{8}xy+4z$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$x+72-\frac{31}{8}xy+4z=y$$

Atņemiet 72 no abām pusēm.

$$x-\frac{31}{8}xy+4z=y-72$$

Atņemiet 4z no abām pusēm.

$$x-\frac{31}{8}xy=y-72-4z$$

Savelciet visus locekļus, kuros ir x.

$$\left(1-\frac{31}{8}y\right)x=y-72-4z$$

Vienādojums ir standarta formā.

$$\left(-\frac{31y}{8}+1\right)x=y-4z-72$$

Daliet abas puses ar 1-\frac{31}{8}y.

$$\frac{\left(-\frac{31y}{8}+1\right)x}{-\frac{31y}{8}+1}=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Dalīšana ar 1-\frac{31}{8}y atsauc reizināšanu ar 1-\frac{31}{8}y.

$$x=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Daliet y-72-4z ar 1-\frac{31}{8}y.

$$x=\frac{8\left(y-4z-72\right)}{8-31y}$$

Atrast y (complex solution)

$$\left\{\begin{matrix}y=\frac{8\left(x+4z+72\right)}{31x+8}\text{, }&x\neq -\frac{8}{31}\\y\in \mathrm{C}\text{, }&x=-\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Daliet 93x ar 24, lai iegūtu \frac{31}{8}x.

$$y=x+72-\frac{31}{8}xy+4z$$

Pievienot \frac{31}{8}xy abās pusēs.

$$y+\frac{31}{8}xy=x+72+4z$$

Savelciet visus locekļus, kuros ir y.

$$\left(1+\frac{31}{8}x\right)y=x+72+4z$$

Vienādojums ir standarta formā.

$$\left(\frac{31x}{8}+1\right)y=x+4z+72$$

Daliet abas puses ar 1+\frac{31}{8}x.

$$\frac{\left(\frac{31x}{8}+1\right)y}{\frac{31x}{8}+1}=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Dalīšana ar 1+\frac{31}{8}x atsauc reizināšanu ar 1+\frac{31}{8}x.

$$y=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Daliet x+72+4z ar 1+\frac{31}{8}x.

$$y=\frac{8\left(x+4z+72\right)}{31x+8}$$

Atrast x

$$\left\{\begin{matrix}x=-\frac{8\left(72+4z-y\right)}{8-31y}\text{, }&y\neq \frac{8}{31}\\x\in \mathrm{R}\text{, }&y=\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Daliet 93x ar 24, lai iegūtu \frac{31}{8}x.

$$y=x+72-\frac{31}{8}xy+4z$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$x+72-\frac{31}{8}xy+4z=y$$

Atņemiet 72 no abām pusēm.

$$x-\frac{31}{8}xy+4z=y-72$$

Atņemiet 4z no abām pusēm.

$$x-\frac{31}{8}xy=y-72-4z$$

Savelciet visus locekļus, kuros ir x.

$$\left(1-\frac{31}{8}y\right)x=y-72-4z$$

Vienādojums ir standarta formā.

$$\left(-\frac{31y}{8}+1\right)x=y-4z-72$$

Daliet abas puses ar 1-\frac{31}{8}y.

$$\frac{\left(-\frac{31y}{8}+1\right)x}{-\frac{31y}{8}+1}=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Dalīšana ar 1-\frac{31}{8}y atsauc reizināšanu ar 1-\frac{31}{8}y.

$$x=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Daliet y-72-4z ar 1-\frac{31}{8}y.

$$x=\frac{8\left(y-4z-72\right)}{8-31y}$$

Atrast y

$$\left\{\begin{matrix}y=\frac{8\left(x+4z+72\right)}{31x+8}\text{, }&x\neq -\frac{8}{31}\\y\in \mathrm{R}\text{, }&x=-\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Daliet 93x ar 24, lai iegūtu \frac{31}{8}x.

$$y=x+72-\frac{31}{8}xy+4z$$

Pievienot \frac{31}{8}xy abās pusēs.

$$y+\frac{31}{8}xy=x+72+4z$$

Savelciet visus locekļus, kuros ir y.

$$\left(1+\frac{31}{8}x\right)y=x+72+4z$$

Vienādojums ir standarta formā.

$$\left(\frac{31x}{8}+1\right)y=x+4z+72$$

Daliet abas puses ar 1+\frac{31}{8}x.

$$\frac{\left(\frac{31x}{8}+1\right)y}{\frac{31x}{8}+1}=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Dalīšana ar 1+\frac{31}{8}x atsauc reizināšanu ar 1+\frac{31}{8}x.

$$y=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Daliet x+72+4z ar 1+\frac{31}{8}x.

$$y=\frac{8\left(x+4z+72\right)}{31x+8}$$