Solve 7x+1(6/5y+2/5)=-16

$$7 x + 1 ( \frac { 6 } { 5 } y + \frac { 2 } { 5 } ) = - 16$$

Solve for x

$$x=\frac{-6y-82}{35}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1 by \frac{6}{5}y+\frac{2}{5}.

$$7x+\frac{6}{5}y+\frac{2}{5}=-16$$

Subtract \frac{6}{5}y from both sides.

$$7x+\frac{2}{5}=-16-\frac{6}{5}y$$

Subtract \frac{2}{5} from both sides.

$$7x=-16-\frac{6}{5}y-\frac{2}{5}$$

Subtract \frac{2}{5} from -16 to get -\frac{82}{5}.

$$7x=-\frac{82}{5}-\frac{6}{5}y$$

The equation is in standard form.

$$7x=\frac{-6y-82}{5}$$

Divide both sides by 7.

$$\frac{7x}{7}=\frac{-6y-82}{5\times 7}$$

Dividing by 7 undoes the multiplication by 7.

$$x=\frac{-6y-82}{5\times 7}$$

Divide \frac{-82-6y}{5} by 7.

$$x=\frac{-6y-82}{35}$$

Solve for y

$$y=-\frac{35x}{6}-\frac{41}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1 by \frac{6}{5}y+\frac{2}{5}.

$$7x+\frac{6}{5}y+\frac{2}{5}=-16$$

Subtract 7x from both sides.

$$\frac{6}{5}y+\frac{2}{5}=-16-7x$$

Subtract \frac{2}{5} from both sides.

$$\frac{6}{5}y=-16-7x-\frac{2}{5}$$

Subtract \frac{2}{5} from -16 to get -\frac{82}{5}.

$$\frac{6}{5}y=-\frac{82}{5}-7x$$

The equation is in standard form.

$$\frac{6}{5}y=-7x-\frac{82}{5}$$

Divide both sides of the equation by \frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{6}{5}y}{\frac{6}{5}}=\frac{-7x-\frac{82}{5}}{\frac{6}{5}}$$

Dividing by \frac{6}{5} undoes the multiplication by \frac{6}{5}.

$$y=\frac{-7x-\frac{82}{5}}{\frac{6}{5}}$$

Divide -\frac{82}{5}-7x by \frac{6}{5} by multiplying -\frac{82}{5}-7x by the reciprocal of \frac{6}{5}.

$$y=-\frac{35x}{6}-\frac{41}{3}$$