Solve by Graphing y=-2x-2 7y-49=-49x

$y = - 2 x - 2$ $7 y - 49 = - 49 x$

Step 1

Add $49$ to both sides of the equation.

$7 y = - 49 x + 49$

$y = - 2 x - 2$

Step 2

Divide each term in $7 y = - 49 x + 49$ by $7$ and simplify.

Divide each term in $7 y = - 49 x + 49$ by $7$ .

$\frac{7 y}{7} = \frac{- 49 x}{7} + \frac{49}{7}$

$y = - 2 x - 2$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 49 x}{7} + \frac{49}{7}$

$y = - 2 x - 2$

Divide $y$ by $1$ .

$y = \frac{- 49 x}{7} + \frac{49}{7}$

$y = - 2 x - 2$

$y = \frac{- 49 x}{7} + \frac{49}{7}$

$y = - 2 x - 2$

$y = \frac{- 49 x}{7} + \frac{49}{7}$

$y = - 2 x - 2$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 49$ and $7$ .

Factor $7$ out of $- 49 x$ .

$y = \frac{7 (- 7 x)}{7} + \frac{49}{7}$

$y = - 2 x - 2$

Cancel the common factors.

Factor $7$ out of $7$ .

$y = \frac{7 (- 7 x)}{7 (1)} + \frac{49}{7}$

$y = - 2 x - 2$

Cancel the common factor.

$y = \frac{7 (- 7 x)}{7 \cdot 1} + \frac{49}{7}$

$y = - 2 x - 2$

Rewrite the expression.

$y = \frac{- 7 x}{1} + \frac{49}{7}$

$y = - 2 x - 2$

Divide $- 7 x$ by $1$ .

$y = - 7 x + \frac{49}{7}$

$y = - 2 x - 2$

$y = - 7 x + \frac{49}{7}$

$y = - 2 x - 2$

$y = - 7 x + \frac{49}{7}$

$y = - 2 x - 2$

Divide $49$ by $7$ .

$y = - 7 x + 7$

$y = - 2 x - 2$

$y = - 7 x + 7$

$y = - 2 x - 2$

$y = - 7 x + 7$

$y = - 2 x - 2$

$y = - 7 x + 7$

$y = - 2 x - 2$

Step 3

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

$(\frac{9}{5}, - \frac{28}{5})$

Step 4

Solve by Graphing y=-2x-2 7y-49=-49x

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