Solve 1/y(x)=2*0-5/0-4

$$\frac { 1 } { y } ( x ) = \frac { 2 \cdot 0 - 5 } { 0 - 4 }$$

Solve for x

$$x=\frac{5y}{4}$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$1x=-\frac{1}{4}y\left(2\times 0-5\right)$$

Multiply 2 and 0 to get 0.

$$1x=-\frac{1}{4}y\left(-5\right)$$

Multiply -\frac{1}{4} and -5 to get \frac{5}{4}.

$$1x=\frac{5}{4}y$$

Reorder the terms.

$$x=\frac{5}{4}y$$

Solve for y

$$y=\frac{4x}{5}$$

$$x\neq 0$$

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 y.

$$1x=-\frac{1}{4}y\left(2\times 0-5\right)$$

Multiply 2 and 0 to get 0.

$$1x=-\frac{1}{4}y\left(-5\right)$$

Multiply -\frac{1}{4} and -5 to get \frac{5}{4}.

$$1x=\frac{5}{4}y$$

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

$$\frac{5}{4}y=1x$$

Reorder the terms.

$$\frac{5}{4}y=x$$

Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{4}y}{\frac{5}{4}}=\frac{x}{\frac{5}{4}}$$

Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.

$$y=\frac{x}{\frac{5}{4}}$$

Divide x by \frac{5}{4} by multiplying x by the reciprocal of \frac{5}{4}.

$$y=\frac{4x}{5}$$

Variable y cannot be equal to 0.

$$y=\frac{4x}{5}\text{, }y\neq 0$$