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

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

Solve for x

$$x=\frac{y-5}{2}$$

Steps for Solving Linear Equation

The opposite of -2 is 2.

$$\frac{x+2}{-3-\left(-2\right)}=\frac{y-1}{-1-1}$$

The opposite of -2 is 2.

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

Add -3 and 2 to get -1.

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

Anything divided by -1 gives its opposite. To find the opposite of x+2, find the opposite of each term.

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

Subtract 1 from -1 to get -2.

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

Multiply both numerator and denominator by -1.

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

Divide each term of -y+1 by 2 to get -\frac{1}{2}y+\frac{1}{2}.

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

Add 2 to both sides.

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

Add \frac{1}{2} and 2 to get \frac{5}{2}.

$$-x=-\frac{1}{2}y+\frac{5}{2}$$

The equation is in standard form.

$$-x=\frac{5-y}{2}$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{5-y}{-2}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{5-y}{-2}$$

Divide \frac{-y+5}{2} by -1.

$$x=\frac{y-5}{2}$$

Solve for y

$$y=2x+5$$

Steps for Solving Linear Equation

The opposite of -2 is 2.

$$\frac{x+2}{-3-\left(-2\right)}=\frac{y-1}{-1-1}$$

The opposite of -2 is 2.

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

Add -3 and 2 to get -1.

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

Anything divided by -1 gives its opposite. To find the opposite of x+2, find the opposite of each term.

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

Subtract 1 from -1 to get -2.

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

Multiply both numerator and denominator by -1.

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

Divide each term of -y+1 by 2 to get -\frac{1}{2}y+\frac{1}{2}.

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

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

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

Subtract \frac{1}{2} from both sides.

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

Subtract \frac{1}{2} from -2 to get -\frac{5}{2}.

$$-\frac{1}{2}y=-x-\frac{5}{2}$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}y}{-\frac{1}{2}}=\frac{-x-\frac{5}{2}}{-\frac{1}{2}}$$

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

$$y=\frac{-x-\frac{5}{2}}{-\frac{1}{2}}$$

Divide -x-\frac{5}{2} by -\frac{1}{2} by multiplying -x-\frac{5}{2} by the reciprocal of -\frac{1}{2}.

$$y=2x+5$$