Solve by Graphing -x+2y=4 , 6y=3x+11

$- x + 2 y = 4$ , $6 y = 3 x + 11$

Step 1

Add $x$ to both sides of the equation.

$2 y = 4 + x$

$6 y = 3 x + 11$

Step 2

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

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

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

$6 y = 3 x + 11$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

$6 y = 3 x + 11$

Divide $y$ by $1$ .

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

$6 y = 3 x + 11$

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

$6 y = 3 x + 11$

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

$6 y = 3 x + 11$

Simplify the right side.

Divide $4$ by $2$ .

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

$6 y = 3 x + 11$

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

$6 y = 3 x + 11$

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

$6 y = 3 x + 11$

Step 3

Divide each term in $6 y = 3 x + 11$ by $6$ and simplify.

Divide each term in $6 y = 3 x + 11$ by $6$ .

$\frac{6 y}{6} = \frac{3 x}{6} + \frac{11}{6}$

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{3 x}{6} + \frac{11}{6}$

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

Divide $y$ by $1$ .

$y = \frac{3 x}{6} + \frac{11}{6}$

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

$y = \frac{3 x}{6} + \frac{11}{6}$

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

$y = \frac{3 x}{6} + \frac{11}{6}$

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

Simplify the right side.

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3 x$ .

$y = \frac{3 (x)}{6} + \frac{11}{6}$

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

Cancel the common factors.

Factor $3$ out of $6$ .

$y = \frac{3 x}{3 \cdot 2} + \frac{11}{6}$

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

Cancel the common factor.

$y = \frac{3 x}{3 \cdot 2} + \frac{11}{6}$

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

Rewrite the expression.