Algebra Examples

$y = 2 x + 2$ $y = 0$

Step 1

Eliminate the equal sides of each equation and combine.

$2 x + 2 = 0$

Step 2

Solve $2 x + 2 = 0$ for $x$ .

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Step 2.1

Subtract $2$ from both sides of the equation.

$2 x = - 2$

Step 2.2

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

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Step 2.2.1

Divide each term in $2 x = - 2$ by $2$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $2$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $x$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $- 2$ by $2$ .

$x = - 1$

Step 3

Substitute $- 1$ for $x$ .

$y = 0$

Step 4

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

$(- 1, 0)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 1, 0)$

Equation Form:

$x = - 1, y = 0$

Step 6