Solve for y ax+2xy=14

$a x + 2 x y = 14$

Step 1

Subtract $a x$ from both sides of the equation.

$2 x y = 14 - a x$

Step 2

Divide each term in $2 x y = 14 - a x$ by $2 x$ and simplify.

Divide each term in $2 x y = 14 - a x$ by $2 x$ .

$\frac{2 x y}{2 x} = \frac{14}{2 x} + \frac{- a x}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x y}{2 x} = \frac{14}{2 x} + \frac{- a x}{2 x}$

Rewrite the expression.

$\frac{x y}{x} = \frac{14}{2 x} + \frac{- a x}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{14}{2 x} + \frac{- a x}{2 x}$

Divide $y$ by $1$ .

$y = \frac{14}{2 x} + \frac{- a x}{2 x}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $14$ and $2$ .

Factor $2$ out of $14$ .

$y = \frac{2 \cdot 7}{2 x} + \frac{- a x}{2 x}$

Cancel the common factors.

Factor $2$ out of $2 x$ .

$y = \frac{2 \cdot 7}{2 (x)} + \frac{- a x}{2 x}$

Cancel the common factor.

$y = \frac{2 \cdot 7}{2 x} + \frac{- a x}{2 x}$

Rewrite the expression.

$y = \frac{7}{x} + \frac{- a x}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$y = \frac{7}{x} + \frac{- a x}{2 x}$

Rewrite the expression.

$y = \frac{7}{x} + \frac{- a}{2}$

Move the negative in front of the fraction.

$y = \frac{7}{x} - \frac{a}{2}$