Solve 3/2x+2y+164/14=0

$$\frac{ 3 }{ 2 } x+2y+ \frac{ 164 }{ 14 } =0$$

Solve for x

$$x=-\frac{4y}{3}-\frac{164}{21}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{164}{14} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}x+2y+\frac{82}{7}=0$$

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$\frac{3}{2}x+\frac{82}{7}=-2y$$

Subtract \frac{82}{7} from both sides.

$$\frac{3}{2}x=-2y-\frac{82}{7}$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{-2y-\frac{82}{7}}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$x=\frac{-2y-\frac{82}{7}}{\frac{3}{2}}$$

Divide -2y-\frac{82}{7} by \frac{3}{2} by multiplying -2y-\frac{82}{7} by the reciprocal of \frac{3}{2}.

$$x=-\frac{4y}{3}-\frac{164}{21}$$

Solve for y

$$y=-\frac{3x}{4}-\frac{41}{7}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{164}{14} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}x+2y+\frac{82}{7}=0$$

Subtract \frac{3}{2}x from both sides. Anything subtracted from zero gives its negation.

$$2y+\frac{82}{7}=-\frac{3}{2}x$$

Subtract \frac{82}{7} from both sides.

$$2y=-\frac{3}{2}x-\frac{82}{7}$$

The equation is in standard form.

$$2y=-\frac{3x}{2}-\frac{82}{7}$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{-\frac{3x}{2}-\frac{82}{7}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{-\frac{3x}{2}-\frac{82}{7}}{2}$$

Divide -\frac{3x}{2}-\frac{82}{7} by 2.

$$y=-\frac{3x}{4}-\frac{41}{7}$$