Solve by Graphing 0.45x+0.65y=18.55 , x+y=35

$0.45 x + 0.65 y = 18.55$ , $x + y = 35$

Step 1

Subtract $0.45 x$ from both sides of the equation.

$0.65 y = 18.55 - 0.45 x$

$x + y = 35$

Step 2

Divide each term in $0.65 y = 18.55 - 0.45 x$ by $0.65$ and simplify.

Divide each term in $0.65 y = 18.55 - 0.45 x$ by $0.65$ .

$\frac{0.65 y}{0.65} = \frac{18.55}{0.65} + \frac{- 0.45 x}{0.65}$

$x + y = 35$

Simplify the left side.

Cancel the common factor of $0.65$ .

Cancel the common factor.

$\frac{0.65 y}{0.65} = \frac{18.55}{0.65} + \frac{- 0.45 x}{0.65}$

$x + y = 35$

Divide $y$ by $1$ .

$y = \frac{18.55}{0.65} + \frac{- 0.45 x}{0.65}$

$x + y = 35$

$y = \frac{18.55}{0.65} + \frac{- 0.45 x}{0.65}$

$x + y = 35$

$y = \frac{18.55}{0.65} + \frac{- 0.45 x}{0.65}$

$x + y = 35$

Simplify the right side.

Simplify each term.

Divide $18.55$ by $0.65$ .

$y = 28.\overline{538461} + \frac{- 0.45 x}{0.65}$

$x + y = 35$

Move the negative in front of the fraction.

$y = 28.\overline{538461} - \frac{(0.45) x}{0.65}$

$x + y = 35$

Factor $0.45$ out of $0.45 x$ .

$y = 28.\overline{538461} - \frac{0.45 (x)}{0.65}$

$x + y = 35$

Factor $0.65$ out of $0.65$ .

$y = 28.\overline{538461} - \frac{0.45 (x)}{0.65 (1)}$

$x + y = 35$

Separate fractions.

$y = 28.\overline{538461} - (\frac{0.45}{0.65} \cdot \frac{x}{1})$

$x + y = 35$

Divide $0.45$ by $0.65$ .

$y = 28.\overline{538461} - (0.\overline{692307} (\frac{x}{1}))$

$x + y = 35$

Divide $x$ by $1$ .

$y = 28.\overline{538461} - (0.\overline{692307} x)$

$x + y = 35$

Multiply $0.\overline{692307}$ by $- 1$ .