Solve 3/x=2k/5

$$\frac { 3 } { x } = \frac { 2 k } { 5 }$$

Solve for k

$$k=\frac{15}{2x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5x, the least common multiple of x,5.

$$5\times 3=x\times 2k$$

Multiply 5 and 3 to get 15.

$$15=x\times 2k$$

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

$$x\times 2k=15$$

The equation is in standard form.

$$2xk=15$$

Divide both sides by 2x.

$$\frac{2xk}{2x}=\frac{15}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$k=\frac{15}{2x}$$

Solve for x

$$x=\frac{15}{2k}$$

$$k\neq 0$$

Steps for Solving Linear Equation

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

$$5\times 3=x\times 2k$$

Multiply 5 and 3 to get 15.

$$15=x\times 2k$$

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

$$x\times 2k=15$$

The equation is in standard form.

$$2kx=15$$

Divide both sides by 2k.

$$\frac{2kx}{2k}=\frac{15}{2k}$$

Dividing by 2k undoes the multiplication by 2k.

$$x=\frac{15}{2k}$$

Variable x cannot be equal to 0.

$$x=\frac{15}{2k}\text{, }x\neq 0$$