Solve by Graphing y=2x-3 4x=2y+6

$y = 2 x - 3$ $4 x = 2 y + 6$

Rewrite the equation as $2 y + 6 = 4 x$ .

$2 y + 6 = 4 x$

$y = 2 x - 3$

Subtract $6$ from both sides of the equation.

$2 y = 4 x - 6$

$y = 2 x - 3$

Divide each term in $2 y = 4 x - 6$ by $2$ and simplify.

Divide each term in $2 y = 4 x - 6$ by $2$ .

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Divide $y$ by $1$ .

$y = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

$y = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

$y = \frac{4 x}{2} + \frac{- 6}{2}$

$y = 2 x - 3$

Simplify the right side.

Simplify each term.

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 x$ .

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

$y = 2 x - 3$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (2 x)}{2 (1)} + \frac{- 6}{2}$

$y = 2 x - 3$

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot 1} + \frac{- 6}{2}$

$y = 2 x - 3$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 6}{2}$

$y = 2 x - 3$

Divide $2 x$ by $1$ .

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

$y = 2 x - 3$

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

$y = 2 x - 3$

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

$y = 2 x - 3$

Divide $- 6$ by $2$ .

$y = 2 x - 3$

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

$y = 2 x - 3$

Solve by Graphing y=2x-3 4x=2y+6

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