Evaluate Using the Given Value 4x+3y=292x-3y-1

$4 x + 3 y = 292 x - 3 y - 1$

Step 1

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

Subtract $292 x$ from both sides of the equation.

$4 x + 3 y - 292 x = - 3 y - 1$

Subtract $292 x$ from $4 x$ .

$- 288 x + 3 y = - 3 y - 1$

Step 2

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

Subtract $3 y$ from both sides of the equation.

$- 288 x = - 3 y - 1 - 3 y$

Subtract $3 y$ from $- 3 y$ .

$- 288 x = - 6 y - 1$

Step 3

Divide each term in $- 288 x = - 6 y - 1$ by $- 288$ and simplify.

Divide each term in $- 288 x = - 6 y - 1$ by $- 288$ .

$\frac{- 288 x}{- 288} = \frac{- 6 y}{- 288} + \frac{- 1}{- 288}$

Simplify the left side.

Cancel the common factor of $- 288$ .

Cancel the common factor.

$\frac{- 288 x}{- 288} = \frac{- 6 y}{- 288} + \frac{- 1}{- 288}$

Divide $x$ by $1$ .

$x = \frac{- 6 y}{- 288} + \frac{- 1}{- 288}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 6$ and $- 288$ .

Factor $- 6$ out of $- 6 y$ .

$x = \frac{- 6 (y)}{- 288} + \frac{- 1}{- 288}$

Cancel the common factors.

Factor $- 6$ out of $- 288$ .

$x = \frac{- 6 (y)}{- 6 (48)} + \frac{- 1}{- 288}$

Cancel the common factor.

$x = \frac{- 6 y}{- 6 \cdot 48} + \frac{- 1}{- 288}$

Rewrite the expression.

$x = \frac{y}{48} + \frac{- 1}{- 288}$

Dividing two negative values results in a positive value.

$x = \frac{y}{48} + \frac{1}{288}$