Algebra Examples

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

Step 1

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

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Step 1.1

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

$(- 2) - y = 2$

$x = - 2$

Step 1.2

Simplify the left side.

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Step 1.2.1

Remove parentheses.

$- 2 - y = 2$

$x = - 2$

$- 2 - y = 2$

$x = - 2$

$- 2 - y = 2$

$x = - 2$

Step 2

Solve for $y$ in $- 2 - y = 2$ .

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Step 2.1

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

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Step 2.1.1

Add $2$ to both sides of the equation.

$- y = 2 + 2$

$x = - 2$

Step 2.1.2

Add $2$ and $2$ .

$- y = 4$

$x = - 2$

$- y = 4$

$x = - 2$

Step 2.2

Divide each term in $- y = 4$ by $- 1$ and simplify.

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Step 2.2.1

Divide each term in $- y = 4$ by $- 1$ .

$\frac{- y}{- 1} = \frac{4}{- 1}$

$x = - 2$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{4}{- 1}$

$x = - 2$

Step 2.2.2.2

Divide $y$ by $1$ .

$y = \frac{4}{- 1}$

$x = - 2$

$y = \frac{4}{- 1}$

$x = - 2$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $4$ by $- 1$ .

$y = - 4$

$x = - 2$

$y = - 4$

$x = - 2$

$y = - 4$

$x = - 2$

$y = - 4$

$x = - 2$

Step 3

Solve the system of equations.

$y = - 4 x = - 2$

Step 4

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

$(- 2, - 4)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 2, - 4)$

Equation Form:

$x = - 2, y = - 4$

Step 6