Algebra Examples

$y = 2 x - 3$ $4 x = 2 y + 6$

Step 1

Rewrite the equation as $2 y + 6 = 4 x$ .

$2 y + 6 = 4 x$

$y = 2 x - 3$

Step 2

Subtract $6$ from both sides of the equation.

$2 y = 4 x - 6$

$y = 2 x - 3$

Step 3

Divide each term in $2 y = 4 x - 6$ by $2$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $2 y = 4 x - 6$ by $2$ .

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

$y = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

$y = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Simplify each term.

Tap for more steps...

Step 3.3.1.1

Cancel the common factor of $4$ and $2$ .

Tap for more steps...

Step 3.3.1.1.1

Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x)}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 3.3.1.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (2 x)}{2 (1)} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot 1} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.3.1.1.2.3

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.3.1.1.2.4

Divide $2 x$ by $1$ .

$y = 2 x + \frac{- 6}{2}$

$y = 2 x - 3$

$y = 2 x + \frac{- 6}{2}$

$y = 2 x - 3$

$y = 2 x + \frac{- 6}{2}$

$y = 2 x - 3$

Step 3.3.1.2

Divide $- 6$ by $2$ .

$y = 2 x - 3$

Step 4

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

Step 5

Nothing further can be done with this topic. Please check the expression entered or try another topic.

$y = 2 x - 3, 4 x = 2 y + 6$

Step 6