Mathway

Visit Mathway on the web

Start 7-day free trial on the app

Start 7-day free trial on the app

Download free on Amazon

Download free in Windows Store

Take a photo of your math problem on the app

Examples

2 x + y = - 2

$2 x + y = - 2$ ,

x + 2 y = 2

$x + 2 y = 2$

Step 1

Subtract

2 x

$2 x$ from both sides of the equation.

y = - 2 - 2 x

$y = - 2 - 2 x$

x + 2 y = 2

$x + 2 y = 2$

Step 2

Replace all occurrences of

y

$y$ with

- 2 - 2 x

$- 2 - 2 x$ in each equation.

Tap for more steps...

Step 2.1

Replace all occurrences of

y

$y$ in

x + 2 y = 2

$x + 2 y = 2$ with

- 2 - 2 x

$- 2 - 2 x$ .

x + 2 (- 2 - 2 x) = 2

$x + 2 (- 2 - 2 x) = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Simplify

x + 2 (- 2 - 2 x)

$x + 2 (- 2 - 2 x)$ .

Tap for more steps...

Step 2.2.1.1

Simplify each term.

Tap for more steps...

Step 2.2.1.1.1

Apply the distributive property.

x + 2 \cdot - 2 + 2 (- 2 x) = 2

$x + 2 \cdot - 2 + 2 (- 2 x) = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 2.2.1.1.2

Multiply

2

$2$ by

- 2

$- 2$ .

x - 4 + 2 (- 2 x) = 2

$x - 4 + 2 (- 2 x) = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 2.2.1.1.3

Multiply

- 2

$- 2$ by

2

$2$ .

x - 4 - 4 x = 2

$x - 4 - 4 x = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

x - 4 - 4 x = 2

$x - 4 - 4 x = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 2.2.1.2

Subtract

4 x

$4 x$ from

x

$x$ .

- 3 x - 4 = 2

$- 3 x - 4 = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

- 3 x - 4 = 2

$- 3 x - 4 = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

- 3 x - 4 = 2

$- 3 x - 4 = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

- 3 x - 4 = 2

$- 3 x - 4 = 2$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 3

Solve for

x

$x$ in

- 3 x - 4 = 2

$- 3 x - 4 = 2$ .

Tap for more steps...

Step 3.1

Move all terms not containing

x

$x$ to the right side of the equation.

Tap for more steps...

Step 3.1.1

Add

4

$4$ to both sides of the equation.

- 3 x = 2 + 4

$- 3 x = 2 + 4$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 3.1.2

Add

2

$2$ and

4

$4$ .

- 3 x = 6

$- 3 x = 6$

y = - 2 - 2 x

$y = - 2 - 2 x$

- 3 x = 6

$- 3 x = 6$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 3.2

Divide each term in

- 3 x = 6

$- 3 x = 6$ by

- 3

$- 3$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in

- 3 x = 6

$- 3 x = 6$ by

- 3

$- 3$ .

\frac{- 3 x}{- 3} = \frac{6}{- 3}

$\frac{- 3 x}{- 3} = \frac{6}{- 3}$

y = - 2 - 2 x

$y = - 2 - 2 x$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Cancel the common factor of

- 3

$- 3$ .

Tap for more steps...

Step 3.2.2.1.1

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{6}{- 3}$

$y = - 2 - 2 x$

Step 3.2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{6}{- 3}$

$y = - 2 - 2 x$

$x = \frac{6}{- 3}$

$y = - 2 - 2 x$

$x = \frac{6}{- 3}$

$y = - 2 - 2 x$

Step 3.2.3

Simplify the right side.

Tap for more steps...

Step 3.2.3.1

Divide

$6$ by

$- 3$ .

$x = - 2$

$y = - 2 - 2 x$

$x = - 2$

$y = - 2 - 2 x$

$x = - 2$

$y = - 2 - 2 x$

$x = - 2$

$y = - 2 - 2 x$

Step 4

Replace all occurrences of

$x$ with

$- 2$ in each equation.

Tap for more steps...

Step 4.1

Replace all occurrences of

$x$ in

$y = - 2 - 2 x$ with

$- 2$ .

$y = - 2 - 2 \cdot - 2$

$x = - 2$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Simplify

$- 2 - 2 \cdot - 2$ .

Tap for more steps...

Step 4.2.1.1

Multiply

$- 2$ by

$- 2$ .

$y = - 2 + 4$

$x = - 2$

Step 4.2.1.2

Add

$- 2$ and

$4$ .

$y = 2$

$x = - 2$

$y = 2$

$x = - 2$

$y = 2$

$x = - 2$

$y = 2$

$x = - 2$

Step 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(- 2, 2)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(- 2, 2)$

Equation Form:

$x = - 2, y = 2$

Step 7

Enter YOUR Problem

using Amazon.Auth.AccessControlPolicy;

Mathway requires javascript and a modern browser.

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