Solve alpha/y=90^circ-x

$$\frac { \alpha } { y } = 90 ^ { \circ } - x$$

Solve for x

$$x=-\frac{\alpha }{y}+90$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$\alpha =y\times 90-xy$$

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

$$y\times 90-xy=\alpha$$

Subtract y\times 90 from both sides.

$$-xy=\alpha -y\times 90$$

Multiply -1 and 90 to get -90.

$$-xy=\alpha -90y$$

The equation is in standard form.

$$\left(-y\right)x=\alpha -90y$$

Divide both sides by -y.

$$\frac{\left(-y\right)x}{-y}=\frac{\alpha -90y}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$x=\frac{\alpha -90y}{-y}$$

Divide -90y+\alpha by -y.

$$x=-\frac{\alpha }{y}+90$$

Solve for y

$$\left\{\begin{matrix}y=-\frac{\alpha }{x-90}\text{, }&\alpha \neq 0\text{ and }x\neq 90\\y\neq 0\text{, }&x=90\text{ and }\alpha =0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$\alpha =y\times 90-xy$$

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

$$y\times 90-xy=\alpha$$

Combine all terms containing y.

$$\left(90-x\right)y=\alpha$$

Divide both sides by 90-x.

$$\frac{\left(90-x\right)y}{90-x}=\frac{\alpha }{90-x}$$

Dividing by 90-x undoes the multiplication by 90-x.

$$y=\frac{\alpha }{90-x}$$

Variable y cannot be equal to 0.

$$y=\frac{\alpha }{90-x}\text{, }y\neq 0$$