Solve the System of Inequalities x+3y=3

$x + 3 y \leq - 3 x \geq 3$

Solve $x + 3 y \leq - 3 x$ for $y$ .

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Move all terms not containing $y$ to the right side of the inequality.

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Subtract $x$ from both sides of the inequality.

$3 y \leq - 3 x - x$

Subtract $x$ from $- 3 x$ .

$3 y \leq - 4 x$

Divide each term by $3$ and simplify.

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Divide each term in $3 y \leq - 4 x$ by $3$ .

$\frac{3 y}{3} \leq \frac{- 4 x}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 y}{3} \leq \frac{- 4 x}{3}$

Divide $y$ by $1$ .

$y \leq \frac{- 4 x}{3}$

Move the negative in front of the fraction.

$y \leq - \frac{4 x}{3}$

Divide each term by $- 3$ and simplify.

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Divide each term in $- 3 x \geq 3$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Cancel the common factor of $- 3$ .

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Cancel the common factor.

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

Divide $x$ by $1$ .

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

Divide $3$ by $- 3$ .

$x \leq - 1$

Find the intersection of $y \leq - \frac{4 x}{3}$ and $x \leq - 1$ .

$x \leq N o (Min i m u m)$

Solve the System of Inequalities x+3y<=-3x>=3

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