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Exercise

$4x-3y-65=0$

Step-by-step Solution

1

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $4x-65$ from both sides of the equation

$-3y=-\left(4x-65\right)$
2

Simplify the product $-(4x-65)$

$-3y=-4x+65$
3

Divide both sides of the equation by $-3$

$\frac{-3y}{-3}=\frac{-4x+65}{-3}$
4

Simplify the fraction $\frac{-3y}{-3}$ by $-3$

$y=\frac{-4x+65}{-3}$

Final answer to the exercise

$y=\frac{-4x+65}{-3}$

Try other ways to solve this exercise

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  • 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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