Solve 51/x*y3/4=20

$$5 \frac { 1 } { x } \times y \frac { 3 } { 4 } = 20$$

Solve for x

$$x=\frac{3y}{16}$$

$$y\neq 0$$

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 4x, the least common multiple of x,4.

$$5\times 4\times 1y\times \frac{3}{4}=80x$$

Multiply 5 and 4 to get 20.

$$20\times 1y\times \frac{3}{4}=80x$$

Multiply 20 and 1 to get 20.

$$20y\times \frac{3}{4}=80x$$

Multiply 20 and \frac{3}{4} to get 15.

$$15y=80x$$

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

$$80x=15y$$

Divide both sides by 80.

$$\frac{80x}{80}=\frac{15y}{80}$$

Dividing by 80 undoes the multiplication by 80.

$$x=\frac{15y}{80}$$

Divide 15y by 80.

$$x=\frac{3y}{16}$$

Variable x cannot be equal to 0.

$$x=\frac{3y}{16}\text{, }x\neq 0$$

Solve for y

$$y=\frac{16x}{3}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4x, the least common multiple of x,4.

$$5\times 4\times 1y\times \frac{3}{4}=80x$$

Multiply 5 and 4 to get 20.

$$20\times 1y\times \frac{3}{4}=80x$$

Multiply 20 and 1 to get 20.

$$20y\times \frac{3}{4}=80x$$

Multiply 20 and \frac{3}{4} to get 15.

$$15y=80x$$

Divide both sides by 15.

$$\frac{15y}{15}=\frac{80x}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$y=\frac{80x}{15}$$

Divide 80x by 15.

$$y=\frac{16x}{3}$$