How to solve (x-6)(y-6)=36

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 (x-6)(y-6)=36 | Equatix

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Question

$$(x-6)(y-6)=36$$

Solve for x

$x=\frac{6y}{y-6}$
$y\neq 6$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-6$ by $y-6$.

$$xy-6x-6y+36=36$$

Add $6y$ to both sides.

$$xy-6x+36=36+6y$$

Subtract $36$ from both sides.

$$xy-6x=36+6y-36$$

Subtract $36$ from $36$ to get $0$.

$$xy-6x=6y$$

Combine all terms containing $x$.

$$\left(y-6\right)x=6y$$

Divide both sides by $y-6$.

$$\frac{\left(y-6\right)x}{y-6}=\frac{6y}{y-6}$$

Dividing by $y-6$ undoes the multiplication by $y-6$.

$$x=\frac{6y}{y-6}$$

Show Solution

Solve for y

$y=\frac{6x}{x-6}$
$x\neq 6$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-6$ by $y-6$.

$$xy-6x-6y+36=36$$

Add $6x$ to both sides.

$$xy-6y+36=36+6x$$

Subtract $36$ from both sides.

$$xy-6y=36+6x-36$$

Subtract $36$ from $36$ to get $0$.

$$xy-6y=6x$$

Combine all terms containing $y$.

$$\left(x-6\right)y=6x$$

Divide both sides by $x-6$.

$$\frac{\left(x-6\right)y}{x-6}=\frac{6x}{x-6}$$

Dividing by $x-6$ undoes the multiplication by $x-6$.

$$y=\frac{6x}{x-6}$$

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