Solve by Graphing y=-2/5x+8 x-y=-1

$y = - \frac{2}{5} x + 8$ $x - y = - 1$

Step 1

Simplify each term.

Combine $x$ and $\frac{2}{5}$ .

$y = - \frac{x \cdot 2}{5} + 8$

$x - y = - 1$

Move $2$ to the left of $x$ .

$y = - \frac{2 x}{5} + 8$

$x - y = - 1$

$y = - \frac{2 x}{5} + 8$

$x - y = - 1$

Step 2

Subtract $x$ from both sides of the equation.

$- y = - 1 - x$

$y = - \frac{2 x}{5} + 8$

Step 3

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

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

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

$y = - \frac{2 x}{5} + 8$

Simplify the left side.

Dividing two negative values results in a positive value.

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

$y = - \frac{2 x}{5} + 8$

Divide $y$ by $1$ .

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

$y = - \frac{2 x}{5} + 8$

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

$y = - \frac{2 x}{5} + 8$

Simplify the right side.

Simplify each term.

Divide $- 1$ by $- 1$ .

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

$y = - \frac{2 x}{5} + 8$

Dividing two negative values results in a positive value.

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

$y = - \frac{2 x}{5} + 8$

Divide $x$ by $1$ .

$y = 1 + x$

$y = - \frac{2 x}{5} + 8$

$y = 1 + x$

$y = - \frac{2 x}{5} + 8$

$y = 1 + x$

$y = - \frac{2 x}{5} + 8$

$y = 1 + x$

$y = - \frac{2 x}{5} + 8$

Step 4

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

$(5, 6)$

Step 5

Solve by Graphing y=-2/5x+8 x-y=-1

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