Solve by Graphing 2x-5y=10 y=-2/5x+2

$2 x - 5 y = 10$ $y = - \frac{2}{5} x + 2$

Step 1

Subtract $2 x$ from both sides of the equation.

$- 5 y = 10 - 2 x$

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

Step 2

Divide each term in $- 5 y = 10 - 2 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 10 - 2 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

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

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

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

Divide $y$ by $1$ .

$y = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

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

$y = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

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

$y = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

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

Simplify the right side.

Simplify each term.

Divide $10$ by $- 5$ .

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

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

Dividing two negative values results in a positive value.

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

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

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

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

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

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

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

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

Step 3

Simplify each term.

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

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

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

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

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

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

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

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

Step 4

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

$(5, 0)$

Step 5

Solve by Graphing 2x-5y=10 y=-2/5x+2

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