Solve by Graphing x-y=19 , -2x+y/6=28

$x - y = 19$ , $- 2 x + \frac{y}{6} = 28$

Step 1

Subtract $x$ from both sides of the equation.

$- y = 19 - x$

$- 2 x + \frac{y}{6} = 28$

Step 2

Divide each term in $- y = 19 - x$ by $- 1$ and simplify.

Divide each term in $- y = 19 - x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{19}{- 1} + \frac{- x}{- 1}$

$- 2 x + \frac{y}{6} = 28$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{19}{- 1} + \frac{- x}{- 1}$

$- 2 x + \frac{y}{6} = 28$

Divide $y$ by $1$ .

$y = \frac{19}{- 1} + \frac{- x}{- 1}$

$- 2 x + \frac{y}{6} = 28$

$y = \frac{19}{- 1} + \frac{- x}{- 1}$

$- 2 x + \frac{y}{6} = 28$

Simplify the right side.

Simplify each term.

Divide $19$ by $- 1$ .

$y = - 19 + \frac{- x}{- 1}$

$- 2 x + \frac{y}{6} = 28$

Dividing two negative values results in a positive value.

$y = - 19 + \frac{x}{1}$

$- 2 x + \frac{y}{6} = 28$

Divide $x$ by $1$ .

$y = - 19 + x$

$- 2 x + \frac{y}{6} = 28$

$y = - 19 + x$

$- 2 x + \frac{y}{6} = 28$

$y = - 19 + x$

$- 2 x + \frac{y}{6} = 28$

$y = - 19 + x$

$- 2 x + \frac{y}{6} = 28$

Step 3

Add $2 x$ to both sides of the equation.

$\frac{y}{6} = 28 + 2 x$

$y = - 19 + x$

Step 4

Multiply both sides of the equation by $6$ .

$6 (\frac{y}{6}) = 6 (28 + 2 x)$

$y = - 19 + x$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 (\frac{y}{6}) = 6 (28 + 2 x)$

$y = - 19 + x$

Rewrite the expression.

$y = 6 (28 + 2 x)$

$y = - 19 + x$

$y = 6 (28 + 2 x)$

$y = - 19 + x$

$y = 6 (28 + 2 x)$

$y = - 19 + x$

Simplify the right side.

Simplify $6 (28 + 2 x)$ .

Apply the distributive property.

$y = 6 \cdot 28 + 6 (2 x)$

$y = - 19 + x$

Multiply.

Multiply $6$ by $28$ .

$y = 168 + 6 (2 x)$

$y = - 19 + x$

Multiply $2$ by $6$ .

$y = 168 + 12 x$

$y = - 19 + x$

$y = 168 + 12 x$

$y = - 19 + x$

$y = 168 + 12 x$

$y = - 19 + x$

$y = 168 + 12 x$

$y = - 19 + x$

$y = 168 + 12 x$

$y = - 19 + x$

Step 6

Reorder $168$ and $12 x$ .

$y = 12 x + 168$

$y = - 19 + x$

Step 7

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

$(- 17, - 36)$

Step 8

Solve by Graphing x-y=19 , -2x+y/6=28

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