How do you solve for y in $9 - y = 1.5 x$ $9-y=1.5x$ ?

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Answer 1 · 2015-12-29T21:48:07

$9 = 1.5 x + y$ $9 = 1.5x + y$
$y = 9 - 1.5 x$ $y = 9 - 1.5x$

OR

$- y = 1.5 x - 9$ $-y = 1.5x - 9$
$- 1 (- y) = - 1 (1.5 x - 9)$ $-1(-y) = -1(1.5x - 9)$
$y = 9 - 1.5 x$ $y = 9 - 1.5x$

There are two methods for rearranging this equation.

Term Transaction

Add $y$ $y$ to both sides of the equation:
$9 = 1.5 x + y$ $9 = 1.5x + y$
Subtract $1.5 x$ $1.5x$ from both sides of the equation:
$9 - 1.5 x = y or y = 9 - 1.5 x$ $9 - 1.5x = y" or "y = 9 - 1.5x$

Notice that the variables have simply changed places and reversed their signs.

Subtract 9 from both sides of the equation:
$- y = 1.5 x - 9$ $-y = 1.5x - 9$
Multiply both sides of the equation by $- 1$ $-1$ :
$- 1 (- y) = - 1 (1.5 x - 9)$ $-1(-y) = -1(1.5x - 9)$
$y = - 1.5 x + 9 or y = 9 - 1.5 x$ $y = -1.5x + 9" or "y = 9 - 1.5x$