Solve by Graphing x-y=2 , x+y=6

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

Subtract $x$ from both sides of the equation.

$- y = 2 - x$

$x + y = 6$

Multiply each term in $- y = 2 - x$ by $- 1$

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Multiply each term in $- y = 2 - x$ by $- 1$ .

$(- y) \cdot - 1 = 2 \cdot - 1 + (- x) \cdot - 1$

$x + y = 6$

Multiply $(- y) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 y = 2 \cdot - 1 + (- x) \cdot - 1$

$x + y = 6$

Multiply $y$ by $1$ .

$y = 2 \cdot - 1 + (- x) \cdot - 1$

$x + y = 6$

$y = 2 \cdot - 1 + (- x) \cdot - 1$

$x + y = 6$

Simplify each term.

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Multiply $2$ by $- 1$ .

$y = - 2 + (- x) \cdot - 1$

$x + y = 6$

Multiply $(- x) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$y = - 2 + 1 x$

$x + y = 6$

Multiply $x$ by $1$ .

$y = - 2 + x$

$x + y = 6$

$y = - 2 + x$

$x + y = 6$

$y = - 2 + x$

$x + y = 6$

$y = - 2 + x$

$x + y = 6$

Subtract $x$ from both sides of the equation.

$y = - 2 + x$

$y = 6 - x$

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

$(4, 2)$

Solve by Graphing x-y=2 , x+y=6

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