If (a+2b)/(a-2b) = 1/2, find the value of a/b.

April 8, 2026Mathematics

ScanSolve AI Answer

April 8, 2026

Answer

-6

Here's the solution to 11(b):

(b) Step 1: Write the given equation. $\frac{a+2b}{a-2b} = \frac{1}{2}$

Step 2: Cross-multiply the terms. $2(a+2b) = 1(a-2b)$ $2a + 4b = a - 2b$

Step 3: Group terms with $a$ on one side and terms with $b$ on the other side. $2a - a = -2b - 4b$ $a = -6b$

Step 4: Find the value of $\frac{a}{b}$ . Divide both sides by $b$ . $\frac{a}{b} = -6$

The value of $\frac{a}{b}$ is $\boxed{-6}$ .

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Quick Answer

Here's the solution to 11(b): 11. (b) Step 1: Write the given equation.

Asked on April 8, 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 8, 2026

Here's the solution to 11(b): 11. (b) Step 1: Write the given equation. (a+2b)/(a-2b) = (1)/(2) Step 2: Cross-multiply the terms. 2(a+2b) = 1(a-2b) 2a + 4b = a - 2b Step 3: Group terms with a on one side and terms with b on the other side. 2a - a = -2b - 4b a = -6b Step 4: Find the value of (a)/(b). Divide both sides by b. (a)/(b) = -6 The value of (a)/(b) is -6.