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Exercise

$zy-x+xy=4$

Step-by-step Solution

1

Group the terms of the equation

$zy+xy=4+x$
2

Factor the polynomial $zy+xy$ by it's greatest common factor (GCF): $y$

$y\left(z+x\right)=4+x$
3

Divide both sides of the equation by $z+x$

$\frac{\left(z+x\right)y}{z+x}=\frac{4+x}{z+x}$
4

Simplify the fraction $\frac{\left(z+x\right)y}{z+x}$ by $z+x$

$y=\frac{4+x}{z+x}$

Final answer to the exercise

$y=\frac{4+x}{z+x}$

Try other ways to solve this exercise

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  • Solve for z
  • Solve for y
  • Solve for x
  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
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$\lim_{x\to\infty}\left(-4x\right)$

$y2+16y+64$

$\frac{dy}{dx}=y-\frac{y^2}{9}-\frac{8}{9}$

$\int\:\frac{x^2+x+1}{\left(x^2+2\right)^2}dx$

$\frac{5\:.\:2^2\:.\:\frac{1^2}{2}}{\frac{1}{3}\:.\:\frac{1}{4}}$

$\frac{x^2+2x-4}{x^2}$

$y\cdot\:\frac{dy}{dx}=y^2+1$
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