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

April 8, 2026Mathematics

ScanSolve AI Answer

Answer

-6

4 steps

Here's the solution to 11(b):

Write the given equation.
$\frac{a+2b}{a-2b} = \frac{1}{2}$
Cross-multiply the terms.
$2(a+2b) = 1(a-2b)$ $2a + 4b = a - 2b$
Group terms with $a$ on one side and terms with $b$ on the other side.
$2a - a = -2b - 4b$ $a = -6b$
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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