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Exercise

$2xy+y=4x$

Step-by-step Solution

1

Factor the polynomial $2xy+y$ by it's greatest common factor (GCF): $y$

$y\left(2x+1\right)=4x$
2

Divide both sides of the equation by $2x+1$

$\frac{\left(2x+1\right)y}{2x+1}=\frac{4x}{2x+1}$
3

Simplify the fraction $\frac{\left(2x+1\right)y}{2x+1}$ by $2x+1$

$y=\frac{4x}{2x+1}$

Final answer to the exercise

$y=\frac{4x}{2x+1}$

Try other ways to solve this exercise

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  • Solve for x
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  • Find the derivative
  • Solve by implicit differentiation
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  • 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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