Solve y-1=-1/2(x-6)

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

Solve for x

$$x=8-2y$$

Steps for Solving Linear Equation

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$y-1=-\frac{1}{2}\left(x-6\right)$$

Use the distributive property to multiply -\frac{1}{2} by x-6.

$$y-1=-\frac{1}{2}x+3$$

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

$$-\frac{1}{2}x+3=y-1$$

Subtract 3 from both sides.

$$-\frac{1}{2}x=y-1-3$$

Subtract 3 from -1 to get -4.

$$-\frac{1}{2}x=y-4$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{y-4}{-\frac{1}{2}}$$

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

$$x=\frac{y-4}{-\frac{1}{2}}$$

Divide y-4 by -\frac{1}{2} by multiplying y-4 by the reciprocal of -\frac{1}{2}.

$$x=8-2y$$

Solve for y

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

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$y-1=-\frac{1}{2}\left(x-6\right)$$

Use the distributive property to multiply -\frac{1}{2} by x-6.

$$y-1=-\frac{1}{2}x+3$$

Add 1 to both sides.

$$y=-\frac{1}{2}x+3+1$$

Add 3 and 1 to get 4.

$$y=-\frac{1}{2}x+4$$