Solve 6y+69y=545sqrt{9x}

$$6y+69y = 545 \sqrt{ 9x }$$

Solve for y (complex solution)

$$y=\frac{109\sqrt{x}}{5}$$

Steps for Solving Linear Equation

Combine 6y and 69y to get 75y.

$$75y=545\sqrt{9x}$$

Divide both sides by 75.

$$\frac{75y}{75}=\frac{1635\sqrt{x}}{75}$$

Dividing by 75 undoes the multiplication by 75.

$$y=\frac{1635\sqrt{x}}{75}$$

Divide 1635\sqrt{x} by 75.

$$y=\frac{109\sqrt{x}}{5}$$

Solve for x

$$x=\frac{25y^{2}}{11881}$$

$$y\geq 0$$

Steps for Solving Radical Equations

Combine 6y and 69y to get 75y.

$$75y=545\sqrt{9x}$$

Swap sides so that all variable terms are on the left hand side.

$$545\sqrt{9x}=75y$$

Divide both sides by 545.

$$\frac{545\sqrt{9x}}{545}=\frac{75y}{545}$$

Dividing by 545 undoes the multiplication by 545.

$$\sqrt{9x}=\frac{75y}{545}$$

Divide 75y by 545.

$$\sqrt{9x}=\frac{15y}{109}$$

Square both sides of the equation.

$$9x=\frac{225y^{2}}{11881}$$

Divide both sides by 9.

$$\frac{9x}{9}=\frac{225y^{2}}{9\times 11881}$$

Dividing by 9 undoes the multiplication by 9.

$$x=\frac{225y^{2}}{9\times 11881}$$

Divide \frac{225y^{2}}{11881} by 9.

$$x=\frac{25y^{2}}{11881}$$

Solve for y

$$y=\frac{109\sqrt{x}}{5}$$

$$x\geq 0$$

Steps for Solving Linear Equation

Combine 6y and 69y to get 75y.

$$75y=545\sqrt{9x}$$

Divide both sides by 75.

$$\frac{75y}{75}=\frac{1635\sqrt{x}}{75}$$

Dividing by 75 undoes the multiplication by 75.

$$y=\frac{1635\sqrt{x}}{75}$$

Divide 1635\sqrt{x} by 75.

$$y=\frac{109\sqrt{x}}{5}$$

Solve for x (complex solution)

$$x=\frac{25y^{2}}{11881}$$

$$arg(y)<\pi \text{ or }y=0$$