Solve 5x-2/y=11/12

$$5 x - \frac { 2 } { y } = \frac { 11 } { 12 }$$

Solve for x

$$x=\frac{11}{60}+\frac{2}{5y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12y, the least common multiple of y,12.

$$5x\times 12y-12\times 2=11y$$

Multiply 5 and 12 to get 60.

$$60xy-12\times 2=11y$$

Multiply -12 and 2 to get -24.

$$60xy-24=11y$$

Add 24 to both sides.

$$60xy=11y+24$$

The equation is in standard form.

$$60yx=11y+24$$

Divide both sides by 60y.

$$\frac{60yx}{60y}=\frac{11y+24}{60y}$$

Dividing by 60y undoes the multiplication by 60y.

$$x=\frac{11y+24}{60y}$$

Divide 11y+24 by 60y.

$$x=\frac{11}{60}+\frac{2}{5y}$$

Solve for y

$$y=-\frac{24}{11-60x}$$

$$x\neq \frac{11}{60}$$

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 12y, the least common multiple of y,12.

$$5x\times 12y-12\times 2=11y$$

Multiply 5 and 12 to get 60.

$$60xy-12\times 2=11y$$

Multiply -12 and 2 to get -24.

$$60xy-24=11y$$

Subtract 11y from both sides.

$$60xy-24-11y=0$$

Add 24 to both sides. Anything plus zero gives itself.

$$60xy-11y=24$$

Combine all terms containing y.

$$\left(60x-11\right)y=24$$

Divide both sides by 60x-11.

$$\frac{\left(60x-11\right)y}{60x-11}=\frac{24}{60x-11}$$

Dividing by 60x-11 undoes the multiplication by 60x-11.

$$y=\frac{24}{60x-11}$$

Variable y cannot be equal to 0.

$$y=\frac{24}{60x-11}\text{, }y\neq 0$$