X varies directly with y where x =5, y=15 find the relationship with x and y

July 17, 2026Mathematics

ScanSolve AI Answer

July 17, 2026

Answer

$x = \frac{1}{3}y$

Step 1: Write the direct variation formula. When $x$ varies directly with $y$ , the relationship can be written as: $x = ky$ where $k$ is the constant of proportionality.

Step 2: Substitute the given values to find $k$ . Given $x = 5$ and $y = 15$ : $5 = k(15)$ Divide both sides by 15 to solve for $k$ : $k = \frac{5}{15}$ $k = \frac{1}{3}$

Step 3: Write the relationship between $x$ and $y$ . Substitute the value of $k$ back into the direct variation formula: $x = \frac{1}{3}y$ The relationship between $x$ and $y$ is $\boxed{x = \frac{1}{3}y}$ .

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Quick Answer

Write the direct variation formula. When x varies directly with y, the relationship can be written as: x = ky where k is the constant of proportionality.

Asked on July 17, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on July 17, 2026

Step 1: Write the direct variation formula. When x varies directly with y, the relationship can be written as: x = ky where k is the constant of proportionality. Step 2: Substitute the given values to find k. Given x = 5 and y = 15: 5 = k(15) Divide both sides by 15 to solve for k: k = (5)/(15) k = (1)/(3) Step 3: Write the relationship between x and y. Substitute the value of k back into the direct variation formula: x = (1)/(3)y The relationship between x and y is x = (1)/(3)y. Send me the next one 📸