# How do you solve for y in 5y - 6x = 10?

Feb 1, 2016

$y = \frac{6}{5} x + 2$

#### Explanation:

$5 y - 6 x = 10$

• Add $6 x$ to both sides

$6 x + 5 y \cancel{- 6 x} = 10 + 6 x$

• Divide by $5$

$\frac{5 y = 10 + 6 x}{5}$

$y = 2 + \frac{6}{5} x$

OR

$y = \frac{6}{5} x + 2$

Notes:

• Both of those answers are right, because of the Commutative Property of Addition
• You could divide and then add if you want
• You could also subtract $5 y$ form both sides, but then you would have to subtract $10$, divide by $5$, and multiply the whole equation by $- 1$. I just thought the way I showed was faster.