Solve the System of Equations -5y=-5 7x+6y=7

$- 5 y = - 5$ $7 x + 6 y = 7$

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

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

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

$7 x + 6 y = 7$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

$7 x + 6 y = 7$

Divide $y$ by $1$ .

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

$7 x + 6 y = 7$

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

$7 x + 6 y = 7$

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

$7 x + 6 y = 7$

Simplify the right side.

Divide $- 5$ by $- 5$ .

$y = 1$

$7 x + 6 y = 7$

$y = 1$

$7 x + 6 y = 7$

$y = 1$

$7 x + 6 y = 7$

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

Replace all occurrences of $y$ in $7 x + 6 y = 7$ with $1$ .

$7 x + 6 (1) = 7$

$y = 1$

Simplify the left side.

Multiply $6$ by $1$ .

$7 x + 6 = 7$

$y = 1$

$7 x + 6 = 7$

$y = 1$

$7 x + 6 = 7$

$y = 1$

Solve for $x$ in $7 x + 6 = 7$ .

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

Subtract $6$ from both sides of the equation.

$7 x = 7 - 6$

$y = 1$

Subtract $6$ from $7$ .

$7 x = 1$

$y = 1$

$7 x = 1$

$y = 1$

Divide each term in $7 x = 1$ by $7$ and simplify.

Divide each term in $7 x = 1$ by $7$ .

$\frac{7 x}{7} = \frac{1}{7}$

$y = 1$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{1}{7}$

$y = 1$

Divide $x$ by $1$ .

$x = \frac{1}{7}$

$y = 1$

$x = \frac{1}{7}$

$y = 1$

$x = \frac{1}{7}$

$y = 1$

$x = \frac{1}{7}$

$y = 1$

$x = \frac{1}{7}$

$y = 1$

Solve the system of equations $x = \frac{1}{7} y = 1$ .

$x = \frac{1}{7} y = 1$

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

$(\frac{1}{7}, 1)$

The result can be shown in multiple forms.

Point Form:

$(\frac{1}{7}, 1)$

Equation Form:

$x = \frac{1}{7}, y = 1$

Solve the System of Equations -5y=-5 7x+6y=7

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