Solve y=216-0.08x/0.065

$$y = \frac { 216 - 0.08 x } { 0.065 }$$

Solve for x

$$x=-\frac{13y}{16}+2700$$

Steps for Solving Linear Equation

Divide each term of 216-0.08x by 0.065 to get \frac{216}{0.065}+\frac{-0.08x}{0.065}.

$$y=\frac{216}{0.065}+\frac{-0.08x}{0.065}$$

Expand \frac{216}{0.065} by multiplying both numerator and the denominator by 1000.

$$y=\frac{216000}{65}+\frac{-0.08x}{0.065}$$

Reduce the fraction \frac{216000}{65} to lowest terms by extracting and canceling out 5.

$$y=\frac{43200}{13}+\frac{-0.08x}{0.065}$$

Divide -0.08x by 0.065 to get -\frac{16}{13}x.

$$y=\frac{43200}{13}-\frac{16}{13}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{43200}{13}-\frac{16}{13}x=y$$

Subtract \frac{43200}{13} from both sides.

$$-\frac{16}{13}x=y-\frac{43200}{13}$$

Divide both sides of the equation by -\frac{16}{13}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{16}{13}x}{-\frac{16}{13}}=\frac{y-\frac{43200}{13}}{-\frac{16}{13}}$$

Dividing by -\frac{16}{13} undoes the multiplication by -\frac{16}{13}.

$$x=\frac{y-\frac{43200}{13}}{-\frac{16}{13}}$$

Divide y-\frac{43200}{13} by -\frac{16}{13} by multiplying y-\frac{43200}{13} by the reciprocal of -\frac{16}{13}.

$$x=-\frac{13y}{16}+2700$$

Solve for y

$$y=\frac{43200-16x}{13}$$

Solution Steps

Divide each term of 216-0.08x by 0.065 to get \frac{216}{0.065}+\frac{-0.08x}{0.065}.

$$y=\frac{216}{0.065}+\frac{-0.08x}{0.065}$$

Expand \frac{216}{0.065} by multiplying both numerator and the denominator by 1000.

$$y=\frac{216000}{65}+\frac{-0.08x}{0.065}$$

Reduce the fraction \frac{216000}{65} to lowest terms by extracting and canceling out 5.

$$y=\frac{43200}{13}+\frac{-0.08x}{0.065}$$

Divide -0.08x by 0.065 to get -\frac{16}{13}x.

$$y=\frac{43200}{13}-\frac{16}{13}x$$