Solve frac{y_{0}}{x_{0}}=-(-3)-(-2)/8-6=

$$\frac { y _ { 0 } } { x _ { 0 } } = \frac { - ( - 3 ) - ( - 2 ) } { 8 - 6 } =$$

Solve for x_0

$$x_{0}=\frac{2y_{0}}{5}$$

$$y_{0}\neq 0$$

Steps for Solving Linear Equation

Variable x_{0} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x_{0}.

$$y_{0}=\frac{1}{2}x_{0}\left(-\left(-3\right)-\left(-2\right)\right)$$

The opposite of -3 is 3.

$$y_{0}=\frac{1}{2}x_{0}\left(3-\left(-2\right)\right)$$

The opposite of -2 is 2.

$$y_{0}=\frac{1}{2}x_{0}\left(3+2\right)$$

Add 3 and 2 to get 5.

$$y_{0}=\frac{1}{2}x_{0}\times 5$$

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

$$y_{0}=\frac{5}{2}x_{0}$$

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

$$\frac{5}{2}x_{0}=y_{0}$$

Divide both sides of the equation by \frac{5}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{2}x_{0}}{\frac{5}{2}}=\frac{y_{0}}{\frac{5}{2}}$$

Dividing by \frac{5}{2} undoes the multiplication by \frac{5}{2}.

$$x_{0}=\frac{y_{0}}{\frac{5}{2}}$$

Divide y_{0} by \frac{5}{2} by multiplying y_{0} by the reciprocal of \frac{5}{2}.

$$x_{0}=\frac{2y_{0}}{5}$$

Variable x_{0} cannot be equal to 0.

$$x_{0}=\frac{2y_{0}}{5}\text{, }x_{0}\neq 0$$

Solve for y_0

$$y_{0}=\frac{5x_{0}}{2}$$

$$x_{0}\neq 0$$

Solution Steps

Multiply both sides of the equation by x_{0}.

$$y_{0}=\frac{1}{2}x_{0}\left(-\left(-3\right)-\left(-2\right)\right)$$

The opposite of -3 is 3.

$$y_{0}=\frac{1}{2}x_{0}\left(3-\left(-2\right)\right)$$

The opposite of -2 is 2.

$$y_{0}=\frac{1}{2}x_{0}\left(3+2\right)$$

Add 3 and 2 to get 5.

$$y_{0}=\frac{1}{2}x_{0}\times 5$$

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

$$y_{0}=\frac{5}{2}x_{0}$$