Solve by Graphing 3x-2y=6 , 5x=5-25y

$3 x - 2 y = 6$ , $5 x = 5 - 25 y$

Step 1

Subtract $3 x$ from both sides of the equation.

$- 2 y = 6 - 3 x$

$5 x = 5 - 25 y$

Step 2

Divide each term in $- 2 y = 6 - 3 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 6 - 3 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 3 x}{- 2}$

$5 x = 5 - 25 y$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 3 x}{- 2}$

$5 x = 5 - 25 y$

Divide $y$ by $1$ .

$y = \frac{6}{- 2} + \frac{- 3 x}{- 2}$

$5 x = 5 - 25 y$

$y = \frac{6}{- 2} + \frac{- 3 x}{- 2}$

$5 x = 5 - 25 y$

$y = \frac{6}{- 2} + \frac{- 3 x}{- 2}$

$5 x = 5 - 25 y$

Simplify the right side.

Simplify each term.

Divide $6$ by $- 2$ .

$y = - 3 + \frac{- 3 x}{- 2}$

$5 x = 5 - 25 y$

Dividing two negative values results in a positive value.

$y = - 3 + \frac{3 x}{2}$

$5 x = 5 - 25 y$

$y = - 3 + \frac{3 x}{2}$

$5 x = 5 - 25 y$

$y = - 3 + \frac{3 x}{2}$

$5 x = 5 - 25 y$

$y = - 3 + \frac{3 x}{2}$

$5 x = 5 - 25 y$

Step 3

Rewrite the equation as $5 - 25 y = 5 x$ .

$5 - 25 y = 5 x$

$y = - 3 + \frac{3 x}{2}$

Step 4

Subtract $5$ from both sides of the equation.

$- 25 y = 5 x - 5$

$y = - 3 + \frac{3 x}{2}$

Step 5

Divide each term in $- 25 y = 5 x - 5$ by $- 25$ and simplify.

Divide each term in $- 25 y = 5 x - 5$ by $- 25$ .

$\frac{- 25 y}{- 25} = \frac{5 x}{- 25} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Simplify the left side.

Cancel the common factor of $- 25$ .

Cancel the common factor.

$\frac{- 25 y}{- 25} = \frac{5 x}{- 25} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Divide $y$ by $1$ .

$y = \frac{5 x}{- 25} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

$y = \frac{5 x}{- 25} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

$y = \frac{5 x}{- 25} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $5$ and $- 25$ .

Factor $5$ out of $5 x$ .

$y = \frac{5 (x)}{- 25} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Cancel the common factors.

Factor $5$ out of $- 25$ .

$y = \frac{5 x}{5 \cdot - 5} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Cancel the common factor.

$y = \frac{5 x}{5 \cdot - 5} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Rewrite the expression.

$y = \frac{x}{- 5} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

$y = \frac{x}{- 5} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

$y = \frac{x}{- 5} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Move the negative in front of the fraction.

$y = - \frac{x}{5} + \frac{- 5}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Cancel the common factor of $- 5$ and $- 25$ .

Factor $- 5$ out of $- 5$ .

$y = - \frac{x}{5} + \frac{- 5 \cdot 1}{- 25}$

$y = - 3 + \frac{3 x}{2}$

Cancel the common factors.

Factor $- 5$ out of $- 25$ .

$y = - \frac{x}{5} + \frac{- 5 \cdot 1}{- 5 \cdot 5}$

$y = - 3 + \frac{3 x}{2}$

Cancel the common factor.

$y = - \frac{x}{5} + \frac{- 5 \cdot 1}{- 5 \cdot 5}$

$y = - 3 + \frac{3 x}{2}$

Rewrite the expression.