Solve y-3=-1*(x-2)

$$y-3=-1 \times (x-2)$$

Solve for x

$$x=5-y$$

Steps for Solving Linear Equation

To find the opposite of x-2, find the opposite of each term.

$$y-3=-x+2$$

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

$$-x+2=y-3$$

Subtract 2 from both sides.

$$-x=y-3-2$$

Subtract 2 from -3 to get -5.

$$-x=y-5$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y-5}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{y-5}{-1}$$

Divide y-5 by -1.

$$x=5-y$$

Solve for y

$$y=5-x$$

Solution Steps

To find the opposite of x-2, find the opposite of each term.

$$y-3=-x+2$$

Add 3 to both sides.

$$y=-x+2+3$$

Add 2 and 3 to get 5.

$$y=-x+5$$