# How do you solve for y in 3x+5y=7?

Jan 23, 2016

$y = \frac{1}{5} \left(7 - 3 x\right)$

#### Explanation:

To find y place the other terms in the equation to the right

hand side of the equation.

Thus : 5y = 7 - 3x

( now divide both sides by 5 )

$\Rightarrow \cancel{5} \frac{y}{\cancel{5}} = \frac{7 - 3 x}{5} = \frac{1}{5} \left(7 - 3 x\right)$

Jan 23, 2016

$3 x + 5 y = 7$

Subtract $\textcolor{b l u e}{3 x}$ from both sides.

$\implies 3 x - \textcolor{b l u e}{3 x} + 5 y = 7 - \textcolor{b l u e}{3 x}$

$\implies 5 y = 7 - 3 x$

Divide both sides by $\textcolor{red}{5}$

$\implies \frac{5 y}{\textcolor{red}{5}} = \frac{7 - 3 x}{\textcolor{red}{5}}$

$\implies y = \frac{7}{5} - \frac{3 x}{5}$