Solve for x 7x+3y=9

$7 x + 3 y = 9$

Step 1

Subtract $3 y$ from both sides of the equation.

$7 x = 9 - 3 y$

Step 2

Divide each term in $7 x = 9 - 3 y$ by $7$ and simplify.

Divide each term in $7 x = 9 - 3 y$ by $7$ .

$\frac{7 x}{7} = \frac{9}{7} + \frac{- 3 y}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{9}{7} + \frac{- 3 y}{7}$

Divide $x$ by $1$ .

$x = \frac{9}{7} + \frac{- 3 y}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{9}{7} - \frac{3 y}{7}$