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

Mar 23, 2018

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

#### Explanation:

To begin isolating x, use algebraic manipulation to begin moving everything to the opposite side as the x term.

Begin by moving the y term.

$\left(3 x + y = 7\right) = \left(3 x = - y + 7\right)$

Next, divide both sides by 3

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

If you need the answer in slope intercept form just break the fractions apart and rewrite the $- \frac{y}{3}$ term as $- \frac{1}{3} y$

$x = - \frac{1}{3} y + \frac{7}{3}$