Solve 82/27x+7/6y=0

$$\frac { 82 } { 27 } x + \frac { 7 } { 6 } y = 0$$

Solve for x

$$x=-\frac{63y}{164}$$

Steps for Solving Linear Equation

Subtract \frac{7}{6}y from both sides. Anything subtracted from zero gives its negation.

$$\frac{82}{27}x=-\frac{7}{6}y$$

The equation is in standard form.

$$\frac{82}{27}x=-\frac{7y}{6}$$

Divide both sides of the equation by \frac{82}{27}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{82}{27}x}{\frac{82}{27}}=-\frac{\frac{7y}{6}}{\frac{82}{27}}$$

Dividing by \frac{82}{27} undoes the multiplication by \frac{82}{27}.

$$x=-\frac{\frac{7y}{6}}{\frac{82}{27}}$$

Divide -\frac{7y}{6} by \frac{82}{27} by multiplying -\frac{7y}{6} by the reciprocal of \frac{82}{27}.

$$x=-\frac{63y}{164}$$

Solve for y

$$y=-\frac{164x}{63}$$

Steps for Solving Linear Equation

Subtract \frac{82}{27}x from both sides. Anything subtracted from zero gives its negation.

$$\frac{7}{6}y=-\frac{82}{27}x$$

The equation is in standard form.

$$\frac{7}{6}y=-\frac{82x}{27}$$

Divide both sides of the equation by \frac{7}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{6}y}{\frac{7}{6}}=-\frac{\frac{82x}{27}}{\frac{7}{6}}$$

Dividing by \frac{7}{6} undoes the multiplication by \frac{7}{6}.

$$y=-\frac{\frac{82x}{27}}{\frac{7}{6}}$$

Divide -\frac{82x}{27} by \frac{7}{6} by multiplying -\frac{82x}{27} by the reciprocal of \frac{7}{6}.

$$y=-\frac{164x}{63}$$