Solve 2x-6/5y=30

$$2 x - \frac { 6 } { 5 } y = 30$$

Solve for x

$$x=\frac{3\left(y+25\right)}{5}$$

Steps for Solving Linear Equation

Add \frac{6}{5}y to both sides.

$$2x=30+\frac{6}{5}y$$

The equation is in standard form.

$$2x=\frac{6y}{5}+30$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\frac{6y}{5}+30}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\frac{6y}{5}+30}{2}$$

Divide 30+\frac{6y}{5} by 2.

$$x=\frac{3y}{5}+15$$

Solve for y

$$y=\frac{5\left(x-15\right)}{3}$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$-\frac{6}{5}y=30-2x$$

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

$$\frac{-\frac{6}{5}y}{-\frac{6}{5}}=\frac{30-2x}{-\frac{6}{5}}$$

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

$$y=\frac{30-2x}{-\frac{6}{5}}$$

Divide 30-2x by -\frac{6}{5} by multiplying 30-2x by the reciprocal of -\frac{6}{5}.

$$y=\frac{5x}{3}-25$$