Algebra Examples

$y = \frac{1}{3} x$ $y = - 2$

Step 1

Eliminate the equal sides of each equation and combine.

$\frac{1}{3} x = - 2$

Step 2

Solve $\frac{1}{3} x = - 2$ for $x$ .

Tap for more steps...

Step 2.1

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} x) = 3 \cdot - 2$

Step 2.2

Simplify both sides of the equation.

Tap for more steps...

Step 2.2.1

Simplify the left side.

Tap for more steps...

Step 2.2.1.1

Simplify $3 (\frac{1}{3} x)$ .

Tap for more steps...

Step 2.2.1.1.1

Combine $\frac{1}{3}$ and $x$ .

$3 \frac{x}{3} = 3 \cdot - 2$

Step 2.2.1.1.2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.1.1.2.1

Cancel the common factor.

$3 \frac{x}{3} = 3 \cdot - 2$

Step 2.2.1.1.2.2

Rewrite the expression.

$x = 3 \cdot - 2$

Step 2.2.2

Simplify the right side.

Tap for more steps...

Step 2.2.2.1

Multiply $3$ by $- 2$ .

$x = - 6$

Step 3

Substitute $- 6$ for $x$ .

$y = - 2$

Step 4

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

$(- 6, - 2)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 6, - 2)$

Equation Form:

$x = - 6, y = - 2$

Step 6