# How do you write the equation y+2=5/3(x+6) in standard form?

Oct 24, 2017

$- 5 x + 3 y = 24$

#### Explanation:

$a x + b y = c$ is the standard form of a linear equation.

$y + 2 = \left(\frac{5}{3}\right) \left(x + 6\right)$

$3 \left(y + 2\right) = 5 \left(x + 6\right) \textcolor{w h i t e}{a a a}$cross multiplying;

$3 y + 6 = 5 x + 30 \textcolor{w h i t e}{a a a}$ removing braces;

#-5x + 3y = 24 color (white)(aaa) bringing variables to LHS & numerals to RHS.