Finite Math Examples

$2 x - y = - 2$ , $- 2 x + y - 2 = 0$

Step 1

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

Tap for more steps...

Step 1.1

Add $2 x$ to both sides of the equation.

$y - 2 = 2 x$

$2 x - y = - 2$

Step 1.2

Add $2$ to both sides of the equation.

$y = 2 x + 2$

$2 x - y = - 2$

$y = 2 x + 2$

$2 x - y = - 2$

Step 2

Replace all occurrences of $y$ with $2 x + 2$ in each equation.

Tap for more steps...

Step 2.1

Replace all occurrences of $y$ in $2 x - y = - 2$ with $2 x + 2$ .

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

$y = 2 x + 2$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

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

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.

$2 x - (2 x) - 1 \cdot 2 = - 2$

$y = 2 x + 2$

Step 2.2.1.1.2

Multiply $2$ by $- 1$ .

$2 x - 2 x - 1 \cdot 2 = - 2$

$y = 2 x + 2$

Step 2.2.1.1.3

Multiply $- 1$ by $2$ .

$2 x - 2 x - 2 = - 2$

$y = 2 x + 2$

$2 x - 2 x - 2 = - 2$

$y = 2 x + 2$

Step 2.2.1.2

Simplify by adding terms.

Tap for more steps...

Step 2.2.1.2.1

Subtract $2 x$ from $2 x$ .

$0 - 2 = - 2$

$y = 2 x + 2$

Step 2.2.1.2.2

Subtract $2$ from $0$ .

$- 2 = - 2$

$y = 2 x + 2$

$- 2 = - 2$

$y = 2 x + 2$

$- 2 = - 2$

$y = 2 x + 2$

$- 2 = - 2$

$y = 2 x + 2$

$- 2 = - 2$

$y = 2 x + 2$

Step 3

Remove any equations from the system that are always true.

$y = 2 x + 2$

Step 4