Solve the System of Equations -7x-y=0 7x+8y=-6

$- 7 x - y = 0$ $7 x + 8 y = - 6$

Solve for $x$ in $- 7 x - y = 0$ .

Add $y$ to both sides of the equation.

$- 7 x = y$

$7 x + 8 y = - 6$

Divide each term in $- 7 x = y$ by $- 7$ and simplify.

Divide each term in $- 7 x = y$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{y}{- 7}$

$7 x + 8 y = - 6$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{y}{- 7}$

$7 x + 8 y = - 6$

Divide $x$ by $1$ .

$x = \frac{y}{- 7}$

$7 x + 8 y = - 6$

$x = \frac{y}{- 7}$

$7 x + 8 y = - 6$

$x = \frac{y}{- 7}$

$7 x + 8 y = - 6$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{y}{7}$

$7 x + 8 y = - 6$

$x = - \frac{y}{7}$

$7 x + 8 y = - 6$

$x = - \frac{y}{7}$

$7 x + 8 y = - 6$

$x = - \frac{y}{7}$

$7 x + 8 y = - 6$

Replace all occurrences of $x$ with $- \frac{y}{7}$ in each equation.

Replace all occurrences of $x$ in $7 x + 8 y = - 6$ with $- \frac{y}{7}$ .

$7 (- \frac{y}{7}) + 8 y = - 6$

$x = - \frac{y}{7}$

Simplify the left side.

Simplify $7 (- \frac{y}{7}) + 8 y$ .

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{y}{7}$ into the numerator.

$7 (\frac{- y}{7}) + 8 y = - 6$

$x = - \frac{y}{7}$

Cancel the common factor.

$7 (\frac{- y}{7}) + 8 y = - 6$

$x = - \frac{y}{7}$

Rewrite the expression.

$- y + 8 y = - 6$

$x = - \frac{y}{7}$

$- y + 8 y = - 6$

$x = - \frac{y}{7}$

Add $- y$ and $8 y$ .

$7 y = - 6$

$x = - \frac{y}{7}$

$7 y = - 6$

$x = - \frac{y}{7}$

$7 y = - 6$

$x = - \frac{y}{7}$

$7 y = - 6$

$x = - \frac{y}{7}$

Divide each term in $7 y = - 6$ by $7$ and simplify.

Divide each term in $7 y = - 6$ by $7$ .

$\frac{7 y}{7} = \frac{- 6}{7}$

$x = - \frac{y}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 6}{7}$

$x = - \frac{y}{7}$

Divide $y$ by $1$ .

$y = \frac{- 6}{7}$

$x = - \frac{y}{7}$

$y = \frac{- 6}{7}$

$x = - \frac{y}{7}$

$y = \frac{- 6}{7}$

$x = - \frac{y}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{6}{7}$

$x = - \frac{y}{7}$

$y = - \frac{6}{7}$

$x = - \frac{y}{7}$

$y = - \frac{6}{7}$

$x = - \frac{y}{7}$

Replace all occurrences of $y$ with $- \frac{6}{7}$ in each equation.

Replace all occurrences of $y$ in $x = - \frac{y}{7}$ with $- \frac{6}{7}$ .

$x = - \frac{- \frac{6}{7}}{7}$

$y = - \frac{6}{7}$

Simplify the right side.

Simplify $- \frac{- \frac{6}{7}}{7}$ .

Multiply the numerator by the reciprocal of the denominator.

$x = - (- \frac{6}{7} \cdot \frac{1}{7})$

$y = - \frac{6}{7}$

Multiply $- \frac{6}{7} \cdot \frac{1}{7}$ .

Multiply $\frac{1}{7}$ by $\frac{6}{7}$ .

$x = \frac{6}{7 \cdot 7}$

$y = - \frac{6}{7}$

Multiply $7$ by $7$ .

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

Multiply $- - \frac{6}{49}$ .

Multiply $- 1$ by $- 1$ .

$x = 1 (\frac{6}{49})$

$y = - \frac{6}{7}$

Multiply $\frac{6}{49}$ by $1$ .

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

$x = \frac{6}{49}$

$y = - \frac{6}{7}$

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

$(\frac{6}{49}, - \frac{6}{7})$

The result can be shown in multiple forms.

Point Form:

$(\frac{6}{49}, - \frac{6}{7})$

Equation Form:

$x = \frac{6}{49}, y = - \frac{6}{7}$

Solve the System of Equations -7x-y=0 7x+8y=-6

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