Solve 2:3x+5y=1

$$2 : 3 x + 5 y = 1$$

Solve for x

$$x=\frac{3-15y}{2}$$

Steps for Solving Linear Equation

Subtract 5y from both sides.

$$\frac{2}{3}x=1-5y$$

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

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{1-5y}{\frac{2}{3}}$$

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

$$x=\frac{1-5y}{\frac{2}{3}}$$

Divide 1-5y by \frac{2}{3} by multiplying 1-5y by the reciprocal of \frac{2}{3}.

$$x=\frac{3-15y}{2}$$

Solve for y

$$y=-\frac{2x}{15}+\frac{1}{5}$$

Steps for Solving Linear Equation

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

$$5y=1-\frac{2}{3}x$$

The equation is in standard form.

$$5y=-\frac{2x}{3}+1$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{-\frac{2x}{3}+1}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{-\frac{2x}{3}+1}{5}$$

Divide 1-\frac{2x}{3} by 5.

$$y=-\frac{2x}{15}+\frac{1}{5}$$