Solve by Graphing 3x+3y=33 2x+2y=22

$3 x + 3 y = 33$ $2 x + 2 y = 22$

Step 1

Subtract $3 x$ from both sides of the equation.

$3 y = 33 - 3 x$

$2 x + 2 y = 22$

Step 2

Divide each term in $3 y = 33 - 3 x$ by $3$ and simplify.

Divide each term in $3 y = 33 - 3 x$ by $3$ .

$\frac{3 y}{3} = \frac{33}{3} + \frac{- 3 x}{3}$

$2 x + 2 y = 22$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{33}{3} + \frac{- 3 x}{3}$

$2 x + 2 y = 22$

Divide $y$ by $1$ .

$y = \frac{33}{3} + \frac{- 3 x}{3}$

$2 x + 2 y = 22$

$y = \frac{33}{3} + \frac{- 3 x}{3}$

$2 x + 2 y = 22$

$y = \frac{33}{3} + \frac{- 3 x}{3}$

$2 x + 2 y = 22$

Simplify the right side.

Simplify each term.

Divide $33$ by $3$ .

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

$2 x + 2 y = 22$

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

Factor $3$ out of $- 3 x$ .

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

$2 x + 2 y = 22$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = 11 + \frac{3 (- x)}{3 (1)}$

$2 x + 2 y = 22$

Cancel the common factor.

$y = 11 + \frac{3 (- x)}{3 \cdot 1}$

$2 x + 2 y = 22$

Rewrite the expression.

$y = 11 + \frac{- x}{1}$

$2 x + 2 y = 22$

Divide $- x$ by $1$ .

$y = 11 - x$

$2 x + 2 y = 22$

$y = 11 - x$

$2 x + 2 y = 22$

$y = 11 - x$

$2 x + 2 y = 22$

$y = 11 - x$

$2 x + 2 y = 22$

$y = 11 - x$

$2 x + 2 y = 22$

$y = 11 - x$

$2 x + 2 y = 22$

Step 3

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

$2 y = 22 - 2 x$

$y = 11 - x$

Step 4

Divide each term in $2 y = 22 - 2 x$ by $2$ and simplify.

Divide each term in $2 y = 22 - 2 x$ by $2$ .

$\frac{2 y}{2} = \frac{22}{2} + \frac{- 2 x}{2}$

$y = 11 - x$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{22}{2} + \frac{- 2 x}{2}$

$y = 11 - x$

Divide $y$ by $1$ .

$y = \frac{22}{2} + \frac{- 2 x}{2}$

$y = 11 - x$

$y = \frac{22}{2} + \frac{- 2 x}{2}$

$y = 11 - x$

$y = \frac{22}{2} + \frac{- 2 x}{2}$

$y = 11 - x$

Simplify the right side.

Simplify each term.

Divide $22$ by $2$ .

$y = 11 + \frac{- 2 x}{2}$

$y = 11 - x$

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

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

$y = 11 + \frac{2 (- x)}{2}$

$y = 11 - x$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = 11 + \frac{2 (- x)}{2 (1)}$

$y = 11 - x$

Cancel the common factor.

$y = 11 + \frac{2 (- x)}{2 \cdot 1}$

$y = 11 - x$

Rewrite the expression.

$y = 11 + \frac{- x}{1}$

$y = 11 - x$

Divide $- x$ by $1$ .

$y = 11 - x$

Step 5

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

$y = - x + 11$

Step 6

Solve by Graphing 3x+3y=33 2x+2y=22

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