Algebra Examples

$y = - x$ $y = - 4 x + 12$

Step 1

Eliminate the equal sides of each equation and combine.

$- x = - 4 x + 12$

Step 2

Solve $- x = - 4 x + 12$ for $x$ .

Tap for more steps...

Step 2.1

Move all terms containing $x$ to the left side of the equation.

Tap for more steps...

Step 2.1.1

Add $4 x$ to both sides of the equation.

$- x + 4 x = 12$

Step 2.1.2

Add $- x$ and $4 x$ .

$3 x = 12$

Step 2.2

Divide each term in $3 x = 12$ by $3$ and simplify.

Tap for more steps...

Step 2.2.1

Divide each term in $3 x = 12$ by $3$ .

$\frac{3 x}{3} = \frac{12}{3}$

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{12}{3}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{3}$

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Divide $12$ by $3$ .

$x = 4$

Step 3

Evaluate $y$ when $x = 4$ .

Tap for more steps...

Step 3.1

Substitute $4$ for $x$ .

$y = - 4 \cdot 4 + 12$

Step 3.2

Substitute $4$ for $x$ in $y = - 4 \cdot 4 + 12$ and solve for $y$ .

Tap for more steps...

Step 3.2.1

Remove parentheses.

$y = - 4 \cdot 4 + 12$

Step 3.2.2

Simplify $- 4 \cdot 4 + 12$ .

Tap for more steps...

Step 3.2.2.1

Multiply $- 4$ by $4$ .

$y = - 16 + 12$

Step 3.2.2.2

Add $- 16$ and $12$ .

$y = - 4$

Step 4

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

$(4, - 4)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(4, - 4)$

Equation Form:

$x = 4, y = - 4$

Step 6