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Exercise

$\frac{1}{3}x+y=\frac{5}{4}$

Step-by-step Solution

1

Multiplying the fraction by $x$

$\frac{x}{3}+y=\frac{5}{4}$
2

Combine all terms into a single fraction with $3$ as common denominator

$\frac{x+3y}{3}=\frac{5}{4}$
3

Multiply both sides of the equation by $3$

$x+3y=\frac{15}{4}$
4

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

$x=\frac{15}{4}-3y$

Final answer to the exercise

$x=\frac{15}{4}-3y$

Try other ways to solve this exercise

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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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Similar Questions Solved

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$4x+2y=10$

Main Topic: Two-variable linear equations

Algebraic equations that have two distinct variables.

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