Solve by Graphing 2y+8x=58 y-5x=11

$2 y + 8 x = 58$ $y - 5 x = 11$

Step 1

Subtract $8 x$ from both sides of the equation.

$2 y = 58 - 8 x$

$y - 5 x = 11$

Step 2

Divide each term in $2 y = 58 - 8 x$ by $2$ and simplify.

Divide each term in $2 y = 58 - 8 x$ by $2$ .

$\frac{2 y}{2} = \frac{58}{2} + \frac{- 8 x}{2}$

$y - 5 x = 11$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{58}{2} + \frac{- 8 x}{2}$

$y - 5 x = 11$

Divide $y$ by $1$ .

$y = \frac{58}{2} + \frac{- 8 x}{2}$

$y - 5 x = 11$

$y = \frac{58}{2} + \frac{- 8 x}{2}$

$y - 5 x = 11$

$y = \frac{58}{2} + \frac{- 8 x}{2}$

$y - 5 x = 11$

Simplify the right side.

Simplify each term.

Divide $58$ by $2$ .

$y = 29 + \frac{- 8 x}{2}$

$y - 5 x = 11$

Cancel the common factor of $- 8$ and $2$ .

Factor $2$ out of $- 8 x$ .

$y = 29 + \frac{2 (- 4 x)}{2}$

$y - 5 x = 11$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = 29 + \frac{2 (- 4 x)}{2 (1)}$

$y - 5 x = 11$

Cancel the common factor.

$y = 29 + \frac{2 (- 4 x)}{2 \cdot 1}$

$y - 5 x = 11$

Rewrite the expression.

$y = 29 + \frac{- 4 x}{1}$

$y - 5 x = 11$

Divide $- 4 x$ by $1$ .

$y = 29 - 4 x$

$y - 5 x = 11$

$y = 29 - 4 x$

$y - 5 x = 11$

$y = 29 - 4 x$

$y - 5 x = 11$

$y = 29 - 4 x$

$y - 5 x = 11$

$y = 29 - 4 x$

$y - 5 x = 11$

$y = 29 - 4 x$

$y - 5 x = 11$

Step 3

Add $5 x$ to both sides of the equation.

$y = 11 + 5 x$

$y = 29 - 4 x$

Step 4

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

$(2, 21)$

Step 5

Solve by Graphing 2y+8x=58 y-5x=11

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