Solve xsinx/1-x=y

$$\frac { x \sin x } { 1 - x } = y$$

Solve for y

$$y=-\frac{x\sin(x)}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -x+1.

$$x\sin(x)=y\left(-x+1\right)$$

Use the distributive property to multiply y by -x+1.

$$x\sin(x)=-yx+y$$

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

$$-yx+y=x\sin(x)$$

Combine all terms containing y.

$$\left(-x+1\right)y=x\sin(x)$$

The equation is in standard form.

$$\left(1-x\right)y=x\sin(x)$$

Divide both sides by 1-x.

$$\frac{\left(1-x\right)y}{1-x}=\frac{x\sin(x)}{1-x}$$

Dividing by 1-x undoes the multiplication by 1-x.

$$y=\frac{x\sin(x)}{1-x}$$