Find the x and y Intercepts 10x+3=-10y+3

$10 x + 3 = - 10 y + 3$

Step 1

Find the x-intercepts.

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

$10 x + 3 = - 10 \cdot 0 + 3$

Solve the equation.

Simplify $- 10 \cdot 0 + 3$ .

Multiply $- 10$ by $0$ .

$10 x + 3 = 0 + 3$

Add $0$ and $3$ .

$10 x + 3 = 3$

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

Subtract $3$ from both sides of the equation.

$10 x = 3 - 3$

Subtract $3$ from $3$ .

$10 x = 0$

Divide each term in $10 x = 0$ by $10$ and simplify.

Divide each term in $10 x = 0$ by $10$ .

$\frac{10 x}{10} = \frac{0}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{0}{10}$

Divide $x$ by $1$ .

$x = \frac{0}{10}$

Simplify the right side.

Divide $0$ by $10$ .

$x = 0$

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 $y$ .

$10 (0) + 3 = - 10 y + 3$

Solve the equation.

Rewrite the equation as $- 10 y + 3 = 10 (0) + 3$ .

$- 10 y + 3 = 10 (0) + 3$

Simplify $10 (0) + 3$ .

Multiply $10$ by $0$ .

$- 10 y + 3 = 0 + 3$

Add $0$ and $3$ .

$- 10 y + 3 = 3$

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

Subtract $3$ from both sides of the equation.

$- 10 y = 3 - 3$

Subtract $3$ from $3$ .

$- 10 y = 0$

Divide each term in $- 10 y = 0$ by $- 10$ and simplify.

Divide each term in $- 10 y = 0$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{0}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{0}{- 10}$

Divide $y$ by $1$ .

$y = \frac{0}{- 10}$

Simplify the right side.

Divide $0$ by $- 10$ .

$y = 0$

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 10x+3=-10y+3

Related Questions

Support LCMGCF.com by disabling your adblocker.