Solve 6x+5/x-2y=350

$$6 x + \frac { 5 } { x } - 2 y = 350$$

Solve for y

$$y=3x-175+\frac{5}{2x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$6xx+5-2yx=350x$$

Multiply x and x to get x^{2}.

$$6x^{2}+5-2yx=350x$$

Subtract 6x^{2} from both sides.

$$5-2yx=350x-6x^{2}$$

Subtract 5 from both sides.

$$-2yx=350x-6x^{2}-5$$

The equation is in standard form.

$$\left(-2x\right)y=-6x^{2}+350x-5$$

Divide both sides by -2x.

$$\frac{\left(-2x\right)y}{-2x}=\frac{-6x^{2}+350x-5}{-2x}$$

Dividing by -2x undoes the multiplication by -2x.

$$y=\frac{-6x^{2}+350x-5}{-2x}$$

Divide 350x-6x^{2}-5 by -2x.

$$y=3x-175+\frac{5}{2x}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{y^{2}+350y+30595}+y+175}{6}$$

$$x=\frac{-\sqrt{y^{2}+350y+30595}+y+175}{6}$$

Solve for x

$$x=\frac{\sqrt{y^{2}+350y+30595}+y+175}{6}$$

$$x=\frac{-\sqrt{y^{2}+350y+30595}+y+175}{6}\text{, }y\geq \sqrt{30}-175\text{ or }y\leq -\sqrt{30}-175$$