Solve the System of Equations -8x-6y=-58 and x-y=9

$- 8 x - 6 y = - 58$ and $x - y = 9$

Add $y$ to both sides of the equation.

$x = 9 + y$

$- 8 x - 6 y = - 58$

Replace all occurrences of $x$ with $9 + y$ in each equation.

Replace all occurrences of $x$ in $- 8 x - 6 y = - 58$ with $9 + y$ .

$- 8 (9 + y) - 6 y = - 58$

$x = 9 + y$

Simplify the left side.

Simplify $- 8 (9 + y) - 6 y$ .

Simplify each term.

Apply the distributive property.

$- 8 \cdot 9 - 8 y - 6 y = - 58$

$x = 9 + y$

Multiply $- 8$ by $9$ .

$- 72 - 8 y - 6 y = - 58$

$x = 9 + y$

$- 72 - 8 y - 6 y = - 58$

$x = 9 + y$

Subtract $6 y$ from $- 8 y$ .

$- 72 - 14 y = - 58$

$x = 9 + y$

$- 72 - 14 y = - 58$

$x = 9 + y$

$- 72 - 14 y = - 58$

$x = 9 + y$

$- 72 - 14 y = - 58$

$x = 9 + y$

Solve for $y$ in $- 72 - 14 y = - 58$ .

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

Add $72$ to both sides of the equation.

$- 14 y = - 58 + 72$

$x = 9 + y$

Add $- 58$ and $72$ .

$- 14 y = 14$

$x = 9 + y$

$- 14 y = 14$

$x = 9 + y$

Divide each term in $- 14 y = 14$ by $- 14$ and simplify.

Divide each term in $- 14 y = 14$ by $- 14$ .

$\frac{- 14 y}{- 14} = \frac{14}{- 14}$

$x = 9 + y$

Simplify the left side.

Cancel the common factor of $- 14$ .

Cancel the common factor.

$\frac{- 14 y}{- 14} = \frac{14}{- 14}$

$x = 9 + y$

Divide $y$ by $1$ .

$y = \frac{14}{- 14}$

$x = 9 + y$

$y = \frac{14}{- 14}$

$x = 9 + y$

$y = \frac{14}{- 14}$

$x = 9 + y$

Simplify the right side.

Divide $14$ by $- 14$ .

$y = - 1$

$x = 9 + y$

$y = - 1$

$x = 9 + y$

$y = - 1$

$x = 9 + y$

$y = - 1$

$x = 9 + y$

Replace all occurrences of $y$ with $- 1$ in each equation.

Replace all occurrences of $y$ in $x = 9 + y$ with $- 1$ .

$x = 9 - 1$

$y = - 1$

Simplify $x = 9 - 1$ .

Simplify the left side.

Remove parentheses.

$x = 9 - 1$

$y = - 1$

$x = 9 - 1$

$y = - 1$

Simplify the right side.

Subtract $1$ from $9$ .

$x = 8$

$y = - 1$

$x = 8$

$y = - 1$

$x = 8$

$y = - 1$

$x = 8$

$y = - 1$

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

$(8, - 1)$

The result can be shown in multiple forms.

Point Form:

$(8, - 1)$

Equation Form:

$x = 8, y = - 1$

Solve the System of Equations -8x-6y=-58 and x-y=9

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