How to solve 189-9=9x+3xy

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 189-9=9x+3xy | Equatix

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Question

$$189-9=9x+3xy$$

Solve for x

$x=\frac{60}{y+3}$
$y\neq -3$

Steps for Solving Linear Equation

Subtract $9$ from $189$ to get $180$.

$$180=9x+3xy$$

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

$$9x+3xy=180$$

Combine all terms containing $x$.

$$\left(9+3y\right)x=180$$

The equation is in standard form.

$$\left(3y+9\right)x=180$$

Divide both sides by $9+3y$.

$$\frac{\left(3y+9\right)x}{3y+9}=\frac{180}{3y+9}$$

Dividing by $9+3y$ undoes the multiplication by $9+3y$.

$$x=\frac{180}{3y+9}$$

Divide $180$ by $9+3y$.

$$x=\frac{60}{y+3}$$

Show Solution

Solve for y

$y=-3+\frac{60}{x}$
$x\neq 0$

Steps for Solving Linear Equation

Subtract $9$ from $189$ to get $180$.

$$180=9x+3xy$$

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

$$9x+3xy=180$$

Subtract $9x$ from both sides.

$$3xy=180-9x$$

Divide both sides by $3x$.

$$\frac{3xy}{3x}=\frac{180-9x}{3x}$$

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

$$y=\frac{180-9x}{3x}$$

Divide $180-9x$ by $3x$.

$$y=-3+\frac{60}{x}$$

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