Solve 110x/112y=151/20x

$$\frac { 110 x } { 112 y } = \frac { 151 } { 20 x }$$

Solve for y

$$y=\frac{275x^{2}}{2114}$$

$$x\neq 0$$

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 560xy, the least common multiple of 112y,20x.

$$5x\times 110x=28y\times 151$$

Multiply 5 and 110 to get 550.

$$550xx=28y\times 151$$

Multiply x and x to get x^{2}.

$$550x^{2}=28y\times 151$$

Multiply 28 and 151 to get 4228.

$$550x^{2}=4228y$$

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

$$4228y=550x^{2}$$

Divide both sides by 4228.

$$\frac{4228y}{4228}=\frac{550x^{2}}{4228}$$

Dividing by 4228 undoes the multiplication by 4228.

$$y=\frac{550x^{2}}{4228}$$

Divide 550x^{2} by 4228.

$$y=\frac{275x^{2}}{2114}$$

Variable y cannot be equal to 0.

$$y=\frac{275x^{2}}{2114}\text{, }y\neq 0$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{23254y}}{55}$$

$$x=\frac{\sqrt{23254y}}{55}\text{, }y\neq 0$$

Solve for x

$$x=\frac{\sqrt{23254y}}{55}$$

$$x=-\frac{\sqrt{23254y}}{55}\text{, }y>0$$