Solve 3x- ? y =5\ \ | Equatix

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Question

$$3x-\frac{?}{y}=5\_\_$$

Solve for x

$x=\frac{5}{3}+\frac{2}{3y}$
$y\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $y$.

$$3xy-2=5y$$

Add $2$ to both sides.

$$3xy=5y+2$$

The equation is in standard form.

$$3yx=5y+2$$

Divide both sides by $3y$.

$$\frac{3yx}{3y}=\frac{5y+2}{3y}$$

Dividing by $3y$ undoes the multiplication by $3y$.

$$x=\frac{5y+2}{3y}$$

Divide $5y+2$ by $3y$.

$$x=\frac{5}{3}+\frac{2}{3y}$$

Show Solution

Solve for y

$y=-\frac{2}{5-3x}$
$x\neq \frac{5}{3}$

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 $y$.

$$3xy-2=5y$$

Subtract $5y$ from both sides.

$$3xy-2-5y=0$$

Add $2$ to both sides. Anything plus zero gives itself.

$$3xy-5y=2$$

Combine all terms containing $y$.

$$\left(3x-5\right)y=2$$

Divide both sides by $3x-5$.

$$\frac{\left(3x-5\right)y}{3x-5}=\frac{2}{3x-5}$$

Dividing by $3x-5$ undoes the multiplication by $3x-5$.

$$y=\frac{2}{3x-5}$$

Variable $y$ cannot be equal to $0$.

$$y=\frac{2}{3x-5}\text{, }y\neq 0$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps for Solving Linear Equation

Solve for y

Steps for Solving Linear Equation