Algebra Examples

x - 2 y = 10

$x - 2 y = 10$

Step 1

Find the x-intercepts.

Tap for more steps...

Step 1.1

To find the x-intercept(s), substitute in

0

$0$ for

y

$y$ and solve for

x

$x$ .

x - 2 \cdot 0 = 10

$x - 2 \cdot 0 = 10$

Step 1.2

Simplify

x - 2 \cdot 0

$x - 2 \cdot 0$ .

Tap for more steps...

Step 1.2.1

Multiply

- 2

$- 2$ by

0

$0$ .

x + 0 = 10

$x + 0 = 10$

Step 1.2.2

Add

x

$x$ and

0

$0$ .

x = 10

$x = 10$

x = 10

$x = 10$

Step 1.3

x-intercept(s) in point form.

x-intercept(s):

(10, 0)

$(10, 0)$

x-intercept(s):

(10, 0)

$(10, 0)$

Step 2

Find the y-intercepts.

Tap for more steps...

Step 2.1

To find the y-intercept(s), substitute in

0

$0$ for

x

$x$ and solve for

y

$y$ .

(0) - 2 y = 10

$(0) - 2 y = 10$

Step 2.2

Solve the equation.

Tap for more steps...

Step 2.2.1

Subtract

2 y

$2 y$ from

0

$0$ .

- 2 y = 10

$- 2 y = 10$

Step 2.2.2

Divide each term in

- 2 y = 10

$- 2 y = 10$ by

- 2

$- 2$ and simplify.

Tap for more steps...

Step 2.2.2.1

Divide each term in

- 2 y = 10

$- 2 y = 10$ by

- 2

$- 2$ .

\frac{- 2 y}{- 2} = \frac{10}{- 2}

$\frac{- 2 y}{- 2} = \frac{10}{- 2}$

Step 2.2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.2.1

Cancel the common factor of

- 2

$- 2$ .

Tap for more steps...

Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{10}{- 2}$

Step 2.2.2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{10}{- 2}$

$y = \frac{10}{- 2}$

$y = \frac{10}{- 2}$

Step 2.2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.2.3.1

Divide

$10$ by

$- 2$ .

$y = - 5$

$y = - 5$

$y = - 5$

$y = - 5$

Step 2.3

y-intercept(s) in point form.

y-intercept(s):

$(0, - 5)$

y-intercept(s):

$(0, - 5)$

Step 3

List the intersections.

x-intercept(s):

$(10, 0)$

y-intercept(s):

$(0, - 5)$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$