Solve 3/2*2/5*x/y=1

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10y, the least common multiple of 2,5,y.

$$\frac{3}{2}\times \frac{2}{5}\times 10x=10y$$

Multiply \frac{3}{2} and \frac{2}{5} to get \frac{3}{5}.

$$\frac{3}{5}\times 10x=10y$$

Multiply \frac{3}{5} and 10 to get 6.

$$6x=10y$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{10y}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{10y}{6}$$

Divide 10y by 6.

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10y, the least common multiple of 2,5,y.

$$\frac{3}{2}\times \frac{2}{5}\times 10x=10y$$

Multiply \frac{3}{2} and \frac{2}{5} to get \frac{3}{5}.

$$\frac{3}{5}\times 10x=10y$$

Multiply \frac{3}{5} and 10 to get 6.

$$6x=10y$$

Swap sides so that all variable terms are on the left hand side.

$$10y=6x$$

Divide both sides by 10.

$$\frac{10y}{10}=\frac{6x}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$y=\frac{6x}{10}$$

Divide 6x by 10.

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

Variable y cannot be equal to 0.

$$y=\frac{3x}{5}\text{, }y\neq 0$$