Solve 56x/16y=7/3

$$\frac { 56 x } { 16 y } = \frac { 7 } { 3 }$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48y, the least common multiple of 16y,3.

$$3\times 56x=112y$$

Multiply 3 and 56 to get 168.

$$168x=112y$$

Divide both sides by 168.

$$\frac{168x}{168}=\frac{112y}{168}$$

Dividing by 168 undoes the multiplication by 168.

$$x=\frac{112y}{168}$$

Divide 112y by 168.

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

Solve for y

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

$$x\neq 0$$

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 48y, the least common multiple of 16y,3.

$$3\times 56x=112y$$

Multiply 3 and 56 to get 168.

$$168x=112y$$

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

$$112y=168x$$

Divide both sides by 112.

$$\frac{112y}{112}=\frac{168x}{112}$$

Dividing by 112 undoes the multiplication by 112.

$$y=\frac{168x}{112}$$

Divide 168x by 112.

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

Variable y cannot be equal to 0.

$$y=\frac{3x}{2}\text{, }y\neq 0$$