Solve by Graphing y=-0.3x^2+3x -2x+5.5y=19.5

$y = - 0.3 x^{2} + 3 x$ $- 2 x + 5.5 y = 19.5$

Step 1

Add $2 x$ to both sides of the equation.

$5.5 y = 19.5 + 2 x$

$y = - 0.3 x^{2} + 3 x$

Step 2

Divide each term in $5.5 y = 19.5 + 2 x$ by $5.5$ and simplify.

Divide each term in $5.5 y = 19.5 + 2 x$ by $5.5$ .

$\frac{5.5 y}{5.5} = \frac{19.5}{5.5} + \frac{2 x}{5.5}$

$y = - 0.3 x^{2} + 3 x$

Simplify the left side.

Cancel the common factor of $5.5$ .

Cancel the common factor.

$\frac{5.5 y}{5.5} = \frac{19.5}{5.5} + \frac{2 x}{5.5}$

$y = - 0.3 x^{2} + 3 x$

Divide $y$ by $1$ .

$y = \frac{19.5}{5.5} + \frac{2 x}{5.5}$

$y = - 0.3 x^{2} + 3 x$

$y = \frac{19.5}{5.5} + \frac{2 x}{5.5}$

$y = - 0.3 x^{2} + 3 x$

$y = \frac{19.5}{5.5} + \frac{2 x}{5.5}$

$y = - 0.3 x^{2} + 3 x$

Simplify the right side.

Simplify each term.

Divide $19.5$ by $5.5$ .

$y = 3.\overline{54} + \frac{2 x}{5.5}$

$y = - 0.3 x^{2} + 3 x$

Factor $2$ out of $2 x$ .

$y = 3.\overline{54} + \frac{2 (x)}{5.5}$

$y = - 0.3 x^{2} + 3 x$

Factor $5.5$ out of $5.5$ .

$y = 3.\overline{54} + \frac{2 (x)}{5.5 (1)}$

$y = - 0.3 x^{2} + 3 x$

Separate fractions.

$y = 3.\overline{54} + \frac{2}{5.5} \cdot \frac{x}{1}$

$y = - 0.3 x^{2} + 3 x$

Divide $2$ by $5.5$ .

$y = 3.\overline{54} + 0.\overline{36} (\frac{x}{1})$

$y = - 0.3 x^{2} + 3 x$

Divide $x$ by $1$ .

$y = 3.\overline{54} + 0.\overline{36} x$

$y = - 0.3 x^{2} + 3 x$

$y = 3.\overline{54} + 0.\overline{36} x$

$y = - 0.3 x^{2} + 3 x$

$y = 3.\overline{54} + 0.\overline{36} x$

$y = - 0.3 x^{2} + 3 x$

$y = 3.\overline{54} + 0.\overline{36} x$

$y = - 0.3 x^{2} + 3 x$

Step 3

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

$(7.13045571, 6.13834753)$

$(1.65742307, 4.14815384)$

Step 4

Solve by Graphing y=-0.3x^2+3x -2x+5.5y=19.5

Related Questions

Support LCMGCF.com by disabling your adblocker.