Solve -2yx-5y=35

$$- 2 y x - 5 y = 35$$

Solve for x

$$x=-\frac{5}{2}-\frac{35}{2y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 5y to both sides.

$$-2yx=35+5y$$

The equation is in standard form.

$$\left(-2y\right)x=5y+35$$

Divide both sides by -2y.

$$\frac{\left(-2y\right)x}{-2y}=\frac{5y+35}{-2y}$$

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

$$x=\frac{5y+35}{-2y}$$

Divide 35+5y by -2y.

$$x=-\frac{5}{2}-\frac{35}{2y}$$

Solve for y

$$y=-\frac{35}{2x+5}$$

$$x\neq -\frac{5}{2}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(-2x-5\right)y=35$$

Divide both sides by -2x-5.

$$\frac{\left(-2x-5\right)y}{-2x-5}=\frac{35}{-2x-5}$$

Dividing by -2x-5 undoes the multiplication by -2x-5.

$$y=\frac{35}{-2x-5}$$

Divide 35 by -2x-5.

$$y=-\frac{35}{2x+5}$$