# Question #0cdf4

Feb 19, 2017

$x = - \frac{5}{6} y + 6$

#### Explanation:

Given:$\text{ } y = - \frac{5}{6} x + 5$

Subtract $\textcolor{red}{5}$ from both sides

$\textcolor{g r e e n}{y \textcolor{red}{- 5} = - \frac{5}{6} x + 5 \textcolor{red}{- 5}}$

$y - 5 = - \frac{5}{6} x$

Multiply both side by $- 1$ to make $- \frac{5}{6} x$ positive

$- y + 5 = + \frac{5}{6} x$

Multiply both sides by $\frac{6}{5}$. Turns the $\frac{5}{6}$ from $\frac{5}{6} x$ into 1

$\frac{6}{5} \left(- y + 5\right) = x$

$- \frac{5}{6} y + 6 = x$

Write as: $x = - \frac{5}{6} y + 6$

Feb 21, 2017

$x = - \frac{6}{5} y + 6$

#### Explanation:

$y = - \frac{5}{6} x + 5$

$\therefore - \frac{5}{6} x + 5 = y$

multiply both sides by$- \frac{6}{5}$

$\therefore - \frac{5}{6} x \times \left(- \frac{6}{5}\right) + \frac{5}{1} \times \left(- \frac{6}{5}\right) = y \times - \frac{6}{5}$

$\therefore x - 6 = \frac{- 6}{5} y$

$\therefore x = \frac{- 6}{5} y + 6$