Solve the Inequality for y x+2y<=6

$x + 2 y \leq 6$

Step 1

Subtract $x$ from both sides of the inequality.

$2 y \leq 6 - x$

Step 2

Divide each term in $2 y \leq 6 - x$ by $2$ and simplify.

Divide each term in $2 y \leq 6 - x$ by $2$ .

$\frac{2 y}{2} \leq \frac{6}{2} + \frac{- x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} \leq \frac{6}{2} + \frac{- x}{2}$

Divide $y$ by $1$ .

$y \leq \frac{6}{2} + \frac{- x}{2}$

Simplify the right side.

Simplify each term.

Divide $6$ by $2$ .

$y \leq 3 + \frac{- x}{2}$

Move the negative in front of the fraction.

$y \leq 3 - \frac{x}{2}$