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Exercise

$5xy+3x=7$

Step-by-step Solution

1

Factor the polynomial $5xy+3x$ by it's greatest common factor (GCF): $x$

$x\left(5y+3\right)=7$
2

Divide both sides of the equation by $x$

$5y+3=\frac{7}{x}$
3

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $3$ from both sides of the equation

$5y=\frac{7}{x}-3$
4

Combine all terms into a single fraction with $x$ as common denominator

$5y=\frac{7-3x}{x}$
5

Divide both sides of the equation by $5$

$y=\frac{7-3x}{5x}$

Final answer to the exercise

$y=\frac{7-3x}{5x}$

Try other ways to solve this exercise

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  • Solve for x
  • Solve for y
  • 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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Similar Questions Solved

$x+2y=6$

$2x+3y=4$

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$x-y=5$

$x+y=4$

$3x+2y=3$

$4x+2y=10$

Main Topic: Two-variable linear equations

Algebraic equations that have two distinct variables.

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