Rearrange the formula L/E = 2a/(R-x) to make R the subject.

April 16, 2026Mathematics

ScanSolve AI Answer

April 16, 2026

Answer

$R = \frac{2aE}{L} + x$

Step 1: Write the given equation. The equation is: $\frac{L}{E} = \frac{2a}{R-x}$

Step 2: Multiply both sides by $(R-x)$ to remove it from the denominator. $(R-x) \cdot \frac{L}{E} = 2a$

Step 3: Divide both sides by $\frac{L}{E}$ (or multiply by $\frac{E}{L}$ ) to isolate $(R-x)$ . $R-x = 2a \cdot \frac{E}{L}$ $R-x = \frac{2aE}{L}$

Step 4: Add $x$ to both sides to make $R$ the subject. $R = \frac{2aE}{L} + x$

The final answer is: $\boxed{R = \frac{2aE}{L} + x}$ That's 2 down. 3 left today — send the next one.

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Write the given equation. The equation is: (L)/(E) = (2a)/(R-x) Step 2: Multiply both sides by (R-x) to remove it from the denominator.

Asked on April 16, 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 April 16, 2026

Step 1: Write the given equation. The equation is: (L)/(E) = (2a)/(R-x) Step 2: Multiply both sides by (R-x) to remove it from the denominator. (R-x) · (L)/(E) = 2a Step 3: Divide both sides by (L)/(E) (or multiply by (E)/(L)) to isolate (R-x). R-x = 2a · (E)/(L) R-x = (2aE)/(L) Step 4: Add x to both sides to make R the subject. R = (2aE)/(L) + x The final answer is: R = (2aE)/(L) + x That's 2 down. 3 left today — send the next one.