Solve by Substitution y=8-x , 7=2-y

$y = 8 - x$ , $7 = 2 - y$

Step 1

Solve for $y$ in $7 = 2 - y$ .

Rewrite the equation as $2 - y = 7$ .

$2 - y = 7$

$y = 8 - x$

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

Subtract $2$ from both sides of the equation.

$- y = 7 - 2$

$y = 8 - x$

Subtract $2$ from $7$ .

$- y = 5$

$y = 8 - x$

$- y = 5$

$y = 8 - x$

Divide each term in $- y = 5$ by $- 1$ and simplify.

Divide each term in $- y = 5$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5}{- 1}$

$y = 8 - x$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5}{- 1}$

$y = 8 - x$

Divide $y$ by $1$ .

$y = \frac{5}{- 1}$

$y = 8 - x$

$y = \frac{5}{- 1}$

$y = 8 - x$

Simplify the right side.

Divide $5$ by $- 1$ .

$y = - 5$

$y = 8 - x$

$y = - 5$

$y = 8 - x$

$y = - 5$

$y = 8 - x$

$y = - 5$

$y = 8 - x$

Step 2

Replace all occurrences of $y$ with $- 5$ in each equation.

Replace all occurrences of $y$ in $y = 8 - x$ with $- 5$ .

$- 5 = 8 - x$

$y = - 5$

Simplify the left side.

Remove parentheses.

$- 5 = 8 - x$

$y = - 5$

$- 5 = 8 - x$

$y = - 5$

$- 5 = 8 - x$

$y = - 5$

Step 3

Solve for $x$ in $- 5 = 8 - x$ .

Rewrite the equation as $8 - x = - 5$ .

$8 - x = - 5$

$y = - 5$

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

Subtract $8$ from both sides of the equation.

$- x = - 5 - 8$

$y = - 5$

Subtract $8$ from $- 5$ .

$- x = - 13$

$y = - 5$

$- x = - 13$

$y = - 5$

Divide each term in $- x = - 13$ by $- 1$ and simplify.

Divide each term in $- x = - 13$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 13}{- 1}$

$y = - 5$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 13}{- 1}$

$y = - 5$

Divide $x$ by $1$ .

$x = \frac{- 13}{- 1}$

$y = - 5$

$x = \frac{- 13}{- 1}$

$y = - 5$

Simplify the right side.

Divide $- 13$ by $- 1$ .

$x = 13$

$y = - 5$

$x = 13$

$y = - 5$

$x = 13$

$y = - 5$

$x = 13$

$y = - 5$

Step 4

Solve the system of equations $x = 13 y = - 5$ .

$x = 13 y = - 5$

Step 5

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

$(13, - 5)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(13, - 5)$

Equation Form:

$x = 13, y = - 5$

Step 7

Solve by Substitution y=8-x , 7=2-y

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