Solve j*1/3+4/x=5/x

$$j \cdot \frac { 1 } { 3 } + \frac { 4 } { x } = \frac { 5 } { x }$$

Solve for j

$$j=\frac{3}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3x, the least common multiple of 3,x.

$$j\times \frac{1}{3}\times 3x+3\times 4=3\times 5$$

Multiply \frac{1}{3} and 3 to get 1.

$$jx+3\times 4=3\times 5$$

Multiply 3 and 4 to get 12.

$$jx+12=3\times 5$$

Multiply 3 and 5 to get 15.

$$jx+12=15$$

Subtract 12 from both sides.

$$jx=15-12$$

Subtract 12 from 15 to get 3.

$$jx=3$$

The equation is in standard form.

$$xj=3$$

Divide both sides by x.

$$\frac{xj}{x}=\frac{3}{x}$$

Dividing by x undoes the multiplication by x.

$$j=\frac{3}{x}$$

Solve for x

$$x=\frac{3}{j}$$

$$j\neq 0$$

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 3x, the least common multiple of 3,x.

$$j\times \frac{1}{3}\times 3x+3\times 4=3\times 5$$

Multiply \frac{1}{3} and 3 to get 1.

$$jx+3\times 4=3\times 5$$

Multiply 3 and 4 to get 12.

$$jx+12=3\times 5$$

Multiply 3 and 5 to get 15.

$$jx+12=15$$

Subtract 12 from both sides.

$$jx=15-12$$

Subtract 12 from 15 to get 3.

$$jx=3$$

Divide both sides by j.

$$\frac{jx}{j}=\frac{3}{j}$$

Dividing by j undoes the multiplication by j.

$$x=\frac{3}{j}$$

Variable x cannot be equal to 0.

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