Solve 2/3x+4/5y=12

$$\frac { 2 } { 3 } x + \frac { 4 } { 5 } y = 12$$

Solve for x

$$x=-\frac{6y}{5}+18$$

Steps for Solving Linear Equation

Subtract \frac{4}{5}y from both sides.

$$\frac{2}{3}x=12-\frac{4}{5}y$$

The equation is in standard form.

$$\frac{2}{3}x=-\frac{4y}{5}+12$$

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

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{-\frac{4y}{5}+12}{\frac{2}{3}}$$

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

$$x=\frac{-\frac{4y}{5}+12}{\frac{2}{3}}$$

Divide 12-\frac{4y}{5} by \frac{2}{3} by multiplying 12-\frac{4y}{5} by the reciprocal of \frac{2}{3}.

$$x=-\frac{6y}{5}+18$$

Solve for y

$$y=-\frac{5x}{6}+15$$

Steps for Solving Linear Equation

Subtract \frac{2}{3}x from both sides.

$$\frac{4}{5}y=12-\frac{2}{3}x$$

The equation is in standard form.

$$\frac{4}{5}y=-\frac{2x}{3}+12$$

Divide both sides of the equation by \frac{4}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{5}y}{\frac{4}{5}}=\frac{-\frac{2x}{3}+12}{\frac{4}{5}}$$

Dividing by \frac{4}{5} undoes the multiplication by \frac{4}{5}.

$$y=\frac{-\frac{2x}{3}+12}{\frac{4}{5}}$$

Divide 12-\frac{2x}{3} by \frac{4}{5} by multiplying 12-\frac{2x}{3} by the reciprocal of \frac{4}{5}.

$$y=-\frac{5x}{6}+15$$