Solve 8.2=y/(x/6)

$$8.2 = y / ( x / 6 )$$

Solve for x

$$x=\frac{30y}{41}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Divide y by \frac{x}{6} by multiplying y by the reciprocal of \frac{x}{6}.

$$8.2=\frac{y\times 6}{x}$$

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

$$\frac{y\times 6}{x}=8.2$$

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

$$y\times 6=8.2x$$

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

$$8.2x=y\times 6$$

The equation is in standard form.

$$8.2x=6y$$

Divide both sides of the equation by 8.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{8.2x}{8.2}=\frac{6y}{8.2}$$

Dividing by 8.2 undoes the multiplication by 8.2.

$$x=\frac{6y}{8.2}$$

Divide 6y by 8.2 by multiplying 6y by the reciprocal of 8.2.

$$x=\frac{30y}{41}$$

Variable x cannot be equal to 0.

$$x=\frac{30y}{41}\text{, }x\neq 0$$

Solve for y

$$y=\frac{41x}{30}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Divide y by \frac{x}{6} by multiplying y by the reciprocal of \frac{x}{6}.

$$8.2=\frac{y\times 6}{x}$$

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

$$\frac{y\times 6}{x}=8.2$$

Multiply both sides of the equation by x.

$$y\times 6=8.2x$$

The equation is in standard form.

$$6y=\frac{41x}{5}$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{41x}{5\times 6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{41x}{5\times 6}$$

Divide \frac{41x}{5} by 6.

$$y=\frac{41x}{30}$$