Evaluate Using the Given Value 33x+55y=-16 , 500

$33 x + 55 y = - 16$ , $500$

Step 1

Subtract $55 y$ from both sides of the equation.

$33 x = - 16 - 55 y$

Step 2

Divide each term in $33 x = - 16 - 55 y$ by $33$ and simplify.

Divide each term in $33 x = - 16 - 55 y$ by $33$ .

$\frac{33 x}{33} = \frac{- 16}{33} + \frac{- 55 y}{33}$

Simplify the left side.

Cancel the common factor of $33$ .

Cancel the common factor.

$\frac{33 x}{33} = \frac{- 16}{33} + \frac{- 55 y}{33}$

Divide $x$ by $1$ .

$x = \frac{- 16}{33} + \frac{- 55 y}{33}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{16}{33} + \frac{- 55 y}{33}$

Cancel the common factor of $- 55$ and $33$ .

Factor $11$ out of $- 55 y$ .

$x = - \frac{16}{33} + \frac{11 (- 5 y)}{33}$

Cancel the common factors.

Factor $11$ out of $33$ .

$x = - \frac{16}{33} + \frac{11 (- 5 y)}{11 (3)}$

Cancel the common factor.

$x = - \frac{16}{33} + \frac{11 (- 5 y)}{11 \cdot 3}$

Rewrite the expression.

$x = - \frac{16}{33} + \frac{- 5 y}{3}$

Move the negative in front of the fraction.

$x = - \frac{16}{33} - \frac{5 y}{3}$

Step 3

Replace the variable $x$ with $- \frac{16}{33} - \frac{5 y}{3}$ in the expression.

$500$