Solve the Inequality for x 2x+6y<=10

$2 x + 6 y \leq 10$

Subtract $6 y$ from both sides of the inequality.

$2 x \leq 10 - 6 y$

Divide each term in $2 x \leq 10 - 6 y$ by $2$ and simplify.

Divide each term in $2 x \leq 10 - 6 y$ by $2$ .

$\frac{2 x}{2} \leq \frac{10}{2} + \frac{- 6 y}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \leq \frac{10}{2} + \frac{- 6 y}{2}$

Divide $x$ by $1$ .

$x \leq \frac{10}{2} + \frac{- 6 y}{2}$

Simplify the right side.

Simplify each term.

Divide $10$ by $2$ .

$x \leq 5 + \frac{- 6 y}{2}$

Cancel the common factor of $- 6$ and $2$ .

Factor $2$ out of $- 6 y$ .

$x \leq 5 + \frac{2 (- 3 y)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$x \leq 5 + \frac{2 (- 3 y)}{2 (1)}$

Cancel the common factor.

$x \leq 5 + \frac{2 (- 3 y)}{2 \cdot 1}$

Rewrite the expression.

$x \leq 5 + \frac{- 3 y}{1}$

Divide $- 3 y$ by $1$ .

$x \leq 5 - 3 y$