Solve the System of Equations y=x+2 x-y=-2

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

Step 1

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

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

$x - (x + 2) = - 2$

$y = x + 2$

Simplify the left side.

Simplify $x - (x + 2)$ .

Simplify each term.

Apply the distributive property.

$x - x - 1 \cdot 2 = - 2$

$y = x + 2$

Multiply $- 1$ by $2$ .

$x - x - 2 = - 2$

$y = x + 2$

$x - x - 2 = - 2$

$y = x + 2$

Simplify by adding terms.

Subtract $x$ from $x$ .

$0 - 2 = - 2$

$y = x + 2$

Subtract $2$ from $0$ .

$- 2 = - 2$

$y = x + 2$

$- 2 = - 2$

$y = x + 2$

$- 2 = - 2$

$y = x + 2$

$- 2 = - 2$

$y = x + 2$

$- 2 = - 2$

$y = x + 2$

Step 2

Remove any equations from the system that are always true.

$y = x + 2$

Step 3

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