Find the x and y Intercepts 5x+5=-5y+5

$5 x + 5 = - 5 y + 5$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x + 5 = - 5 \cdot 0 + 5$

Solve the equation.

Simplify $- 5 \cdot 0 + 5$ .

Multiply $- 5$ by $0$ .

$5 x + 5 = 0 + 5$

Add $0$ and $5$ .

$5 x + 5 = 5$

Move all terms not containing $x$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$5 x = 5 - 5$

Subtract $5$ from $5$ .

$5 x = 0$

Divide each term in $5 x = 0$ by $5$ and simplify.

Divide each term in $5 x = 0$ by $5$ .

$\frac{5 x}{5} = \frac{0}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{0}{5}$

Divide $x$ by $1$ .

$x = \frac{0}{5}$

Simplify the right side.

Divide $0$ by $5$ .

$x = 0$

x-intercept(s) in point form.

x-intercept(s): $(0, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$5 (0) + 5 = - 5 y + 5$

Solve the equation.

Rewrite the equation as $- 5 y + 5 = 5 (0) + 5$ .

$- 5 y + 5 = 5 (0) + 5$

Simplify $5 (0) + 5$ .

Multiply $5$ by $0$ .

$- 5 y + 5 = 0 + 5$

Add $0$ and $5$ .

$- 5 y + 5 = 5$

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

Subtract $5$ from both sides of the equation.

$- 5 y = 5 - 5$

Subtract $5$ from $5$ .

$- 5 y = 0$

Divide each term in $- 5 y = 0$ by $- 5$ and simplify.

Divide each term in $- 5 y = 0$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{0}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{0}{- 5}$

Divide $y$ by $1$ .

$y = \frac{0}{- 5}$

Simplify the right side.

Divide $0$ by $- 5$ .

$y = 0$

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

Step 3

List the intersections.

x-intercept(s): $(0, 0)$

y-intercept(s): $(0, 0)$

Step 4

Find the x and y Intercepts 5x+5=-5y+5

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