Solve x-x1/2a = y-y1/2b

Evaluate

x - x \times \frac{1}{2} a = y - y \times \frac{1}{2} b

Use the commutative property to reorder the terms

x - \frac{1}{2} x a = y - y \times \frac{1}{2} b

Use the commutative property to reorder the terms

x - \frac{1}{2} x a = y - \frac{1}{2} y b

Rewrite the expression

x - \frac{1}{2} a x = y - \frac{1}{2} y b

Collect like terms by calculating the sum or difference of their coefficients

(1 - \frac{1}{2} a) x = y - \frac{1}{2} y b

Divide both sides

\frac{( 1 - \frac{1}{2} a ) x}{1 - \frac{1}{2} a} = \frac{y - \frac{1}{2} y b}{1 - \frac{1}{2} a}

Divide the numbers

x = \frac{y - \frac{1}{2} y b}{1 - \frac{1}{2} a}

Solution

More Steps

x = \frac{2 y - b y}{2 - a}

Solve the equation