Solve y=-3x/2x+10

$$y= \frac{ -3x }{ 2x+10 }$$

Solve for x

$$x=-\frac{10y}{2y+3}$$

$$y\neq -\frac{3}{2}$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+5\right).

$$y\times 2\left(x+5\right)=-3x$$

Use the distributive property to multiply y\times 2 by x+5.

$$2yx+5y\times 2=-3x$$

Multiply 5 and 2 to get 10.

$$2yx+10y=-3x$$

Add 3x to both sides.

$$2yx+10y+3x=0$$

Subtract 10y from both sides. Anything subtracted from zero gives its negation.

$$2yx+3x=-10y$$

Combine all terms containing x.

$$\left(2y+3\right)x=-10y$$

Divide both sides by 2y+3.

$$\frac{\left(2y+3\right)x}{2y+3}=-\frac{10y}{2y+3}$$

Dividing by 2y+3 undoes the multiplication by 2y+3.

$$x=-\frac{10y}{2y+3}$$

Variable x cannot be equal to -5.

$$x=-\frac{10y}{2y+3}\text{, }x\neq -5$$

Solve for y

$$y=-\frac{3x}{2\left(x+5\right)}$$

$$x\neq -5$$