Solve for x 10x+15y=1725

$10 x + 15 y = 1725$

Step 1

Subtract $15 y$ from both sides of the equation.

$10 x = 1725 - 15 y$

Step 2

Divide each term in $10 x = 1725 - 15 y$ by $10$ and simplify.

Divide each term in $10 x = 1725 - 15 y$ by $10$ .

$\frac{10 x}{10} = \frac{1725}{10} + \frac{- 15 y}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{1725}{10} + \frac{- 15 y}{10}$

Divide $x$ by $1$ .

$x = \frac{1725}{10} + \frac{- 15 y}{10}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $1725$ and $10$ .

Factor $5$ out of $1725$ .

$x = \frac{5 (345)}{10} + \frac{- 15 y}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$x = \frac{5 \cdot 345}{5 \cdot 2} + \frac{- 15 y}{10}$

Cancel the common factor.

$x = \frac{5 \cdot 345}{5 \cdot 2} + \frac{- 15 y}{10}$

Rewrite the expression.

$x = \frac{345}{2} + \frac{- 15 y}{10}$

Cancel the common factor of $- 15$ and $10$ .

Factor $5$ out of $- 15 y$ .

$x = \frac{345}{2} + \frac{5 (- 3 y)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$x = \frac{345}{2} + \frac{5 (- 3 y)}{5 (2)}$

Cancel the common factor.

$x = \frac{345}{2} + \frac{5 (- 3 y)}{5 \cdot 2}$

Rewrite the expression.

$x = \frac{345}{2} + \frac{- 3 y}{2}$

Move the negative in front of the fraction.

$x = \frac{345}{2} - \frac{3 y}{2}$