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Exercise

$xy-x=5$

Step-by-step Solution

1

Factor the polynomial $xy-x$ by it's greatest common factor (GCF): $x$

$x\left(y-1\right)=5$
2

Divide both sides of the equation by $x$

$\frac{x\left(y-1\right)}{x}=\frac{5}{x}$
3

Simplify the fraction $\frac{x\left(y-1\right)}{x}$ by $x$

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

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $-1$ from both sides of the equation

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

Multiply $-1$ times $-1$

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

Final answer to the exercise

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

Try other ways to solve this exercise

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  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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Main Topic: Two-variable linear equations

Algebraic equations that have two distinct variables.

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