Solve x52^2+y526^2=z251^3

$$x { 52 }^{ 2 } +y { 526 }^{ 2 } =z { 251 }^{ 3 }$$

Solve for x

$$x=\frac{15813251z}{2704}-\frac{69169y}{676}$$

Steps for Solving Linear Equation

Calculate 52 to the power of 2 and get 2704.

$$x\times 2704+y\times 526^{2}=z\times 251^{3}$$

Calculate 526 to the power of 2 and get 276676.

$$x\times 2704+y\times 276676=z\times 251^{3}$$

Calculate 251 to the power of 3 and get 15813251.

$$x\times 2704+y\times 276676=z\times 15813251$$

Subtract y\times 276676 from both sides.

$$x\times 2704=z\times 15813251-y\times 276676$$

Multiply -1 and 276676 to get -276676.

$$x\times 2704=z\times 15813251-276676y$$

The equation is in standard form.

$$2704x=15813251z-276676y$$

Divide both sides by 2704.

$$\frac{2704x}{2704}=\frac{15813251z-276676y}{2704}$$

Dividing by 2704 undoes the multiplication by 2704.

$$x=\frac{15813251z-276676y}{2704}$$

Divide 15813251z-276676y by 2704.

$$x=\frac{15813251z}{2704}-\frac{69169y}{676}$$

Solve for y

$$y=\frac{15813251z}{276676}-\frac{676x}{69169}$$

Steps for Solving Linear Equation

Calculate 52 to the power of 2 and get 2704.

$$x\times 2704+y\times 526^{2}=z\times 251^{3}$$

Calculate 526 to the power of 2 and get 276676.

$$x\times 2704+y\times 276676=z\times 251^{3}$$

Calculate 251 to the power of 3 and get 15813251.

$$x\times 2704+y\times 276676=z\times 15813251$$

Subtract x\times 2704 from both sides.

$$y\times 276676=z\times 15813251-x\times 2704$$

Multiply -1 and 2704 to get -2704.

$$y\times 276676=z\times 15813251-2704x$$

The equation is in standard form.

$$276676y=15813251z-2704x$$

Divide both sides by 276676.

$$\frac{276676y}{276676}=\frac{15813251z-2704x}{276676}$$

Dividing by 276676 undoes the multiplication by 276676.

$$y=\frac{15813251z-2704x}{276676}$$

Divide 15813251z-2704x by 276676.

$$y=\frac{15813251z}{276676}-\frac{676x}{69169}$$