Solve y-11=-2/4left(x-12right)

$$y-11 = - \frac{ 2 }{ 4 } \left( x-12 \right)$$

Solve for x

$$x=34-2y$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$y-11=-\frac{1}{2}\left(x-12\right)$$

Use the distributive property to multiply -\frac{1}{2} by x-12.

$$y-11=-\frac{1}{2}x+6$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{2}x+6=y-11$$

Subtract 6 from both sides.

$$-\frac{1}{2}x=y-11-6$$

Subtract 6 from -11 to get -17.

$$-\frac{1}{2}x=y-17$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{y-17}{-\frac{1}{2}}$$

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

$$x=\frac{y-17}{-\frac{1}{2}}$$

Divide y-17 by -\frac{1}{2} by multiplying y-17 by the reciprocal of -\frac{1}{2}.

$$x=34-2y$$

Solve for y

$$y=-\frac{x}{2}+17$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$y-11=-\frac{1}{2}\left(x-12\right)$$

Use the distributive property to multiply -\frac{1}{2} by x-12.

$$y-11=-\frac{1}{2}x+6$$

Add 11 to both sides.

$$y=-\frac{1}{2}x+6+11$$

Add 6 and 11 to get 17.

$$y=-\frac{1}{2}x+17$$