Evaluate Using the Given Value 2x-y=92x+5y-8

$2 x - y = 92 x + 5 y - 8$

Step 1

Move all terms containing $x$ to the left side of the equation.

Subtract $92 x$ from both sides of the equation.

$2 x - y - 92 x = 5 y - 8$

Subtract $92 x$ from $2 x$ .

$- 90 x - y = 5 y - 8$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $y$ to both sides of the equation.

$- 90 x = 5 y - 8 + y$

Add $5 y$ and $y$ .

$- 90 x = 6 y - 8$

Step 3

Divide each term in $- 90 x = 6 y - 8$ by $- 90$ and simplify.

Divide each term in $- 90 x = 6 y - 8$ by $- 90$ .

$\frac{- 90 x}{- 90} = \frac{6 y}{- 90} + \frac{- 8}{- 90}$

Simplify the left side.

Cancel the common factor of $- 90$ .

Cancel the common factor.

$\frac{- 90 x}{- 90} = \frac{6 y}{- 90} + \frac{- 8}{- 90}$

Divide $x$ by $1$ .

$x = \frac{6 y}{- 90} + \frac{- 8}{- 90}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $- 90$ .

Factor $6$ out of $6 y$ .

$x = \frac{6 (y)}{- 90} + \frac{- 8}{- 90}$

Cancel the common factors.

Factor $6$ out of $- 90$ .

$x = \frac{6 y}{6 \cdot - 15} + \frac{- 8}{- 90}$

Cancel the common factor.

$x = \frac{6 y}{6 \cdot - 15} + \frac{- 8}{- 90}$

Rewrite the expression.

$x = \frac{y}{- 15} + \frac{- 8}{- 90}$

Move the negative in front of the fraction.

$x = - \frac{y}{15} + \frac{- 8}{- 90}$

Cancel the common factor of $- 8$ and $- 90$ .

Factor $- 2$ out of $- 8$ .

$x = - \frac{y}{15} + \frac{- 2 (4)}{- 90}$

Cancel the common factors.

Factor $- 2$ out of $- 90$ .

$x = - \frac{y}{15} + \frac{- 2 \cdot 4}{- 2 \cdot 45}$

Cancel the common factor.

$x = - \frac{y}{15} + \frac{- 2 \cdot 4}{- 2 \cdot 45}$

Rewrite the expression.

$x = - \frac{y}{15} + \frac{4}{45}$

Evaluate Using the Given Value 2x-y=92x+5y-8

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