Solve alpha/Y=90^circ-X/B

$$\frac { \alpha } { Y } = \frac { 90 ^ { \circ } - X } { B }$$

Solve for B

$$\left\{\begin{matrix}B=-\frac{Y\left(X-90\right)}{\alpha }\text{, }&X\neq 90\text{ and }Y\neq 0\text{ and }\alpha \neq 0\\B\neq 0\text{, }&\alpha =0\text{ and }X=90\text{ and }Y\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable B cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by BY, the least common multiple of Y,B.

$$B\alpha =Y\left(90-X\right)$$

Use the distributive property to multiply Y by 90-X.

$$B\alpha =90Y-YX$$

The equation is in standard form.

$$\alpha B=90Y-XY$$

Divide both sides by \alpha .

$$\frac{\alpha B}{\alpha }=\frac{Y\left(90-X\right)}{\alpha }$$

Dividing by \alpha undoes the multiplication by \alpha .

$$B=\frac{Y\left(90-X\right)}{\alpha }$$

Variable B cannot be equal to 0.

$$B=\frac{Y\left(90-X\right)}{\alpha }\text{, }B\neq 0$$

Solve for X

$$X=-\frac{B\alpha }{Y}+90$$

$$Y\neq 0\text{ and }B\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by BY, the least common multiple of Y,B.

$$B\alpha =Y\left(90-X\right)$$

Use the distributive property to multiply Y by 90-X.

$$B\alpha =90Y-YX$$

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

$$90Y-YX=B\alpha$$

Subtract 90Y from both sides.

$$-YX=B\alpha -90Y$$

The equation is in standard form.

$$\left(-Y\right)X=B\alpha -90Y$$

Divide both sides by -Y.

$$\frac{\left(-Y\right)X}{-Y}=\frac{B\alpha -90Y}{-Y}$$

Dividing by -Y undoes the multiplication by -Y.

$$X=\frac{B\alpha -90Y}{-Y}$$

Divide B\alpha -90Y by -Y.

$$X=-\frac{B\alpha }{Y}+90$$