# How do you solve for y in 6x-3y=9?

Nov 11, 2016

$y = 2 x - 3$

#### Explanation:

As we have two variables $x$ and $y$ here

so we can solve for $y$ only in terms of $x$.

As $6 x - 3 y = 9$, adding $3 y - 9$ to both sides, we get

$6 x - 3 y + 3 y - 9 = 9 + 3 y - 9$

or $6 x - \cancel{3 y} + \cancel{3 y} - 9 = \cancel{9} + 3 y - \cancel{9}$

or $6 x - 9 = 3 y$

or $3 y = 6 x - 9$ - now multipying both sides by $\frac{1}{3}$, we get

$\frac{1}{3} \times 3 y = \frac{1}{3} \times 6 x - \frac{1}{3} \times 9$

or $y = 2 x - 3$