Evaluate Using the Given Value 45x-40y=-3 , 600

$45 x - 40 y = - 3$ , $600$

Step 1

Add $40 y$ to both sides of the equation.

$45 x = - 3 + 40 y$

Step 2

Divide each term in $45 x = - 3 + 40 y$ by $45$ and simplify.

Divide each term in $45 x = - 3 + 40 y$ by $45$ .

$\frac{45 x}{45} = \frac{- 3}{45} + \frac{40 y}{45}$

Simplify the left side.

Cancel the common factor of $45$ .

Cancel the common factor.

$\frac{45 x}{45} = \frac{- 3}{45} + \frac{40 y}{45}$

Divide $x$ by $1$ .

$x = \frac{- 3}{45} + \frac{40 y}{45}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 3$ and $45$ .

Factor $3$ out of $- 3$ .

$x = \frac{3 (- 1)}{45} + \frac{40 y}{45}$

Cancel the common factors.

Factor $3$ out of $45$ .

$x = \frac{3 \cdot - 1}{3 \cdot 15} + \frac{40 y}{45}$

Cancel the common factor.

$x = \frac{3 \cdot - 1}{3 \cdot 15} + \frac{40 y}{45}$

Rewrite the expression.

$x = \frac{- 1}{15} + \frac{40 y}{45}$

Move the negative in front of the fraction.

$x = - \frac{1}{15} + \frac{40 y}{45}$

Cancel the common factor of $40$ and $45$ .

Factor $5$ out of $40 y$ .

$x = - \frac{1}{15} + \frac{5 (8 y)}{45}$

Cancel the common factors.

Factor $5$ out of $45$ .

$x = - \frac{1}{15} + \frac{5 (8 y)}{5 (9)}$

Cancel the common factor.

$x = - \frac{1}{15} + \frac{5 (8 y)}{5 \cdot 9}$

Rewrite the expression.

$x = - \frac{1}{15} + \frac{8 y}{9}$

Step 3

Replace the variable $x$ with $- \frac{1}{15} + \frac{8 y}{9}$ in the expression.

$600$