Evaluate Using the Given Value 4x-10y-104x+5y=35

$4 x - 10 y - 104 x + 5 y = 35$

Step 1

Simplify $4 x - 10 y - 104 x + 5 y$ .

Subtract $104 x$ from $4 x$ .

$- 100 x - 10 y + 5 y = 35$

Add $- 10 y$ and $5 y$ .

$- 100 x - 5 y = 35$

Step 2

Add $5 y$ to both sides of the equation.

$- 100 x = 35 + 5 y$

Step 3

Divide each term in $- 100 x = 35 + 5 y$ by $- 100$ and simplify.

Divide each term in $- 100 x = 35 + 5 y$ by $- 100$ .

$\frac{- 100 x}{- 100} = \frac{35}{- 100} + \frac{5 y}{- 100}$

Simplify the left side.

Cancel the common factor of $- 100$ .

Cancel the common factor.

$\frac{- 100 x}{- 100} = \frac{35}{- 100} + \frac{5 y}{- 100}$

Divide $x$ by $1$ .

$x = \frac{35}{- 100} + \frac{5 y}{- 100}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $35$ and $- 100$ .

Factor $5$ out of $35$ .

$x = \frac{5 (7)}{- 100} + \frac{5 y}{- 100}$

Cancel the common factors.

Factor $5$ out of $- 100$ .

$x = \frac{5 \cdot 7}{5 \cdot - 20} + \frac{5 y}{- 100}$

Cancel the common factor.

$x = \frac{5 \cdot 7}{5 \cdot - 20} + \frac{5 y}{- 100}$

Rewrite the expression.

$x = \frac{7}{- 20} + \frac{5 y}{- 100}$

Move the negative in front of the fraction.

$x = - \frac{7}{20} + \frac{5 y}{- 100}$

Cancel the common factor of $5$ and $- 100$ .

Factor $5$ out of $5 y$ .

$x = - \frac{7}{20} + \frac{5 (y)}{- 100}$

Cancel the common factors.

Factor $5$ out of $- 100$ .

$x = - \frac{7}{20} + \frac{5 y}{5 \cdot - 20}$

Cancel the common factor.

$x = - \frac{7}{20} + \frac{5 y}{5 \cdot - 20}$

Rewrite the expression.

$x = - \frac{7}{20} + \frac{y}{- 20}$

Move the negative in front of the fraction.

$x = - \frac{7}{20} - \frac{y}{20}$

Evaluate Using the Given Value 4x-10y-104x+5y=35

Related Questions

Support LCMGCF.com by disabling your adblocker.